Vita: Tikoo Vita: Tikoo
Vita: Mohan Tikoo
Department
of Mathematics
Cape Girardeau , MO 63701
E-mail:
mtikoo@semovm.semo.edu Tel: (573)651-2777
EDUCATION DEGREE FIELD DATE
FACULTY
POSITIONS AND RANK
1993-present
1988-1993
1984-1988
1978-1984
1966-1978
COURSES TAUGHT AT
SEMO
Developmental Algebra Analytic
Geometry and Calculus III
Intermediate
Algebra Applied
Finite Mathematics
Surveys
of Mathematics Differential
Equations I
Plane
Trigonometry Fractal
Geometry
College
Algebra Modern
Algebra
Applied
Calculus Advanced
Calculus I
Analytic
Geometry and Calculus I Advanced
Calculus II
Analytic
Geometry and Calculus II Introduction
to Point Set Topology
Complex
Analysis Topology
II
Vector
Calculus Linear
Algebra
Research
Methods Algebra
and Trigonometry
College Algebra :on-line College
Algebra - ITV
RESEARCH INTERESTS
General Topology,
Extension Theory
Functional
Analysis
Zeros of
Polynomials
Differential
Equations
Dynamical Systems and Fractals
HONORS AND AWARDS
Post-Professorial Merit (2003 - )
Listed in: American Men
and Women of Science (1986 ---).
Merit Pay
Award, 1989-90, Southeast Missouri State University.
Merit Pay
Award, 1987-88, Southeast Missouri State University.
Florence
Black Teaching Award, l982, University of Kansas.
May Landis
Fellowship, Summer, 1981,
PROFESSIONAL SOCIETIES (Membership)
American
Mathematical Society
Mathematical
Association of
Missouri
Council of Teachers of Mathematics
Planetary
Society
SEMO
Council of Teachers of Mathematics
International
Platform Association
National
Geographic Society
Smithsonian
Library
of Congress
PROFESSIONAL SERVICE ACTIVITIES
Refereed papers for
Math
Magazine
SIAM Journal of Mathematical
Analysis
Missouri
Journal of Mathematical Sciences
Indian
Journal of Mathematics
Arabian
Journal of Science and Engineering
Proceedings
of The
International
Journal of Mathemaitcal Education in Science and
Technology
Math
Magazine
Reviewer for the Journals
"Mathematical
Reviews"
"Zentralblatt Fur Mathematik"
McGraw-Hill
Publishers
Addison
Wesley Publishers
Other
Examiner
of two Ph.D Dissertation from Universities in
Have
supervised a Master’s Thesis in Knot Theory, and directed several Independent
Studies
Member of the American Mathematical
Society Committee on Minicourses, 1994 - 2000
Coordinator of minicourses at the
Annual Summer Meeting, the Atlanta Mathfest,
organized by the Mathematical Association of America, at Atlanta, Georgia,
August 1 - 4, 1997.
SERVICE TO THE SOUTHEAST MISSOURI STATE UNIVERSITY
University Academic Affairs
Committee [chair: 2003 – 2004]
Academic Council [member
2003 – 2005]
Graduate Council [member 2003 – 2005]
University
Faculty Senate (member 1999 - 2005)
University Planning Committee (member 2002
-2004)
University International Council (member
2002)
University International Committee
(member) 2001 -2004
College of Science and Math International
Student Committee (member) 2000 –
College of Science and Mathematics Review
Committee for Research Involving Human Subjects (member) 2000 - 2004
University Governance Committee (member
1999 -2003)
University
Senate Documents Committee (1991-1994, Chair 1993)
University Assessment Committee (member) (1998 -2001)
University
Studies Council (member) (1992 – 1998)
University Studies
Curriculum Committee (1992 – 1998)
University Studies Review Task Force (member 1997-98)
University FYE Task Force Committee (1997 – 1999)
College of Science & Technology Core Review Committee
(member 1996 – 1998)
Search Committee for Faculty Positions (member, 1992-93, 1996 – 97)
Have been a member and have
chaired many Departmental Text Book Committees on regular basis
Seminar Committee (1985 – 1988, 1991- 1995;
Chair 1991, Chair 2001 -)
Department Tenure
Committee (member 1995
- ; Chair 1996)
Department Promotion Committee (member, 1995-1999, 2002 - )
College Promotion and Tenure Committee (member 1995-1999)
Departmental Coordinator of Putman Tests 1991-
PRESENTATIONS AT PROFESIONAL MEETINGS
Tikoo, Mohan L. "Separating H-sets with open sets" (joint work with Professor Jack Porter), Math association of America Mathfest 2009, August 6, 2009, Portland, Oregon August 5 - 8, 2009.
Tikoo, Mohan L. “Current trends in Pythagorean triples, a
survey”, M. A.
A
Tikoo,
Mohan L. “Unifying concepts in geometry
Conference on Research in UndergraduateMathematics”
Education; SouthBend, Indiana,
Tikoo,
Mohan L. “On topics related to
congruence, similarity, self-similarity, parallelism”; Geometry Workshop: Sponsored by Upward Bound, Southeast Missouri
State University, Cape Girardeau, MO, March 21, 1998,
Tikoo, Mohan L. “Integrating Geometry in a Meaningful Way
(College Undergraduates.)
Workshop, ‘
Nov. 1, 1997.
Tikoo, Mohan L. “Integrating Geometry in a Meaningful Way
(Schools K 9-12.) Interface
97B”,Osage
Beach, Missouri, (Session 26a),
Tikoo, Mohan L. “Some Applications of Fractals”, the 13th Annual
Conference on Teaching
Mathematics, Illinois
Council of Teachers of Mathematics, (Southern Section), February 15,
1996,
Tikoo, Mohan L. On Strict and Simple Type Extensions. American Mathematical Society and
Mathematical Association of
Tikoo, Mohan L. On Some Problems Where Mathematics and
Physics Interact.
Association of Physics
Teachers,
Tikoo, Mohan L. and Victor
Gummersheimer. Fractal Images Of Some Polynomial Functions.
Missouri Section of the
Mathematical Association of America meeting at Joplin, Missouri, April
8, 1994.
Tikoo, Mohan L. On A Certain Class Of
Extensions. Missouri Section of the
Mathematical
Association of
Tikoo, Mohan L. On properties bi-invariant under 
-covers. Math
Association of
(
Tikoo, Mohan L. A note on H-Sets. Math. Association of America (Missouri
Section), April 8,
1989,
Tikoo, Mohan L. Nearness Convergence. 23rd Annual Spring Topology Conference, March
16,
1989,
Tikoo, Mohan L. On Katetov
Spaces. 22nd Annual Spring Topology
Conference, April 7, 1988,
Gainesville, Florida.
Tikoo, Mohan L. P-extensions. American Mathematical Society and
Mathematical Association
of
Tikoo, Mohan L. Absolutes of almost realcompactifications. American Mathematical Society
and Mathematical Association of
Tikoo, Mohan L. The Banaschewski - Fomin - Shanin Extension
. 19th Annual Spring
Topology Conference,
Tikoo, Mohan L. Remainders of H-Closed Extensions. American Mathematical Society,
Tikoo, Mohan L. and S. A. Naimpally. On T1
-Compactifications, one-hour invited address.
Symposium on Topology,
January 1979,
PUBLICATIONS
Porter Jack and Tikoo, Mohan. ”Separating
H-sets by Open Sets”, Canadian Math Bulletin, to appear
Tikoo, Mohan and Wang, Haohao. Generalized Pythagorean Triples and Pythagorean triple Preserving
Matrices”, Missouri Journal of Math, 21(1), 2009, 3 – 11.
Tikoo, Mohan L. “A note on Pythagorean triple preserving
matrices”, International Journal of Math
Education in Science and
Technology, 33(6), 2002, 893 – 894.
Tikoo, Mohan L. On Strict and Simple Type Extensions. International
Journal of Mathematics
and Mathematical
Sciences,
21(2), 1998, 239-248.
Tikoo, Mohan L. Integrating Geometry in a Meaningful Way,
Schools K 9-12. International Journal of Math Education in Science and
Technology, 29(5), 1998, 663-675..
Tikoo, Mohan L., M. Ahuja and L. Palmer.
Constructing Pythagorean Triple Preserving
Matrices.
Tikoo, Mohan L., M. Ahuja and L. Palmer.
Finding Pythagorean Triple Preserving Matrices.
Tikoo, Mohan L. Instructor's Resource Manual and Test Bank To Accompany College Algebra
and Algebra and Trigonometry,
by Levitan, Koleman and
Shapiro. Saunders College Publishing,
1993.
Tikoo, Mohan L. and S. A. Naimpally. Nearness
Convergence. Canadian Math. Bulletin, Vol.
33(3), 1990,268-27.
Tikoo, Mohan L. and Jack
Porter. Katetov
Spaces. Canadian Math. Bulletin, Vol. 32 (4),
pp.425-433 (1989).
Tikoo, Mohan L. A note on H-Sets. Kyungpook Journal of
Mathematics, Vol.28, No.1, pp.91-
95, 1988.
Tikoo, Mohan L. Absolutes of almost realcompactifications. Journal
of the Australian Math.
Society (series A), Vol. 41, pp.251-267 (1986).
Tikoo, Mohan L. Remainders of H-Closed Extensions. Topology
and its Applications, Vol.23,
pp. 117-128 (1986).
Tikoo, Mohan L. The Banaschewski - Fomin - Shanin Extensions
. Topology Proceedings,
Vol. 10, pp. 187-206(1985).
Tikoo, Mohan L. and S. A. Naimpally. On T1
-Compactifications.
Pacific J. Math, 84, pp. 183
190 (1979) ().
Tikoo, Mohan L. Location of the Zeros of a Polynomial. Amer.
Math Monthly, 74, pp. 688
690 (1967).
PUBLISHED ARTICLES
OF GENERAL INTEREST
"Undergraduate
Topology", College of Science and
Technology Southeast Missouri State
University, 1986.
"Solving Polynomial
Equations", College of Science and
Technology,
University, 1987.
"On some applications
of the companion matrix", College of
Science and Technology, Southeast
"American Mathematics and John Von Neumann", Southeast Missourian, April 27, 1988.
Reviews:
"Apartness, compactness and nearness",
Mathematical Reviews August 2009, MR2454486 (2009h:54041).
“
X \ {p} are non-normal for non-discrete
spaces X”, Mathematical Reviews, Oct. 2008, MR 2008J:54018.
“On decomposition of
continuity and some weaker forms of continuity via idealization”,
Mathematical Reviews, Sept. 2006, MR 2006i54015.
“On rarely g-continuous
functions”, Mathematical Reviews,
Sept. 2006, MR 54008.
“Eliminating covers in completeness”, Mathematical Reviews, May 2006,
MR2006e:54003.
“Continuous bijections of
finite powers of the Sorgenfrey line”, Mathematical Reviews, July 2006,
MR2006g:54042.
“Almost P-spaces”, Mathematical Reviews, Dec 2004, MR 2004m:54024
“Supernearness,
a common concept of supertopologies and nearness”, Mathematical
Reviews, June 2003,
MR2003f:54015
“On pre-
- sets and pre-V-sets”, Mathematical Reviews, April
2003,
MR2003g:54004
“A proof of Blair-Higson-Johnson Theorem for z –embeddings”, Mathematical Reviews, April2003,
MR2003d:54030
“On semi-g-regular and
semi-g-normal spaces”, Mathematical Reviews, March 2003,
MR2003c:54002
“A sufficient condition that
the Higson corona of a half open interval [1, 
) is a decomposable continuum”, Mathematical Reviews November 2002, MR 2002K:54027.
“C*-embeddings
and P – or M – embeddings on product spaces”, Mathematical Reviews October 2002, MR2002J:54017.
“Extension properties and
the Niemytzki plane”, Mathematical Reviews,
July 2001,
MR2001g:54017
“Proximal set-open topologies on partial maps”, Mathematical
Reviews, April 2001, MR2001d:54014.
“On the equivalence of Fomin extension and the Banaschewski-Fomin-Shanin
extension” ,
Mathematical Reviews,April 2000, MR2000d:54029.
“On relatively normal
spaces, relatively regular spaces, and on relative property (a)” ,
Mathematical Reviews , February 2000,
MR2000b:54020 .
“Co-connected spaces” , Mathematical Reviews, February 2000,
MR:2000b:54012.
“On regular generalized
continuous maps in topological spaces’: Mathematical Reviews,
October 1998, MR: 98j:54017.
"On some problems in Cp
-theory", Mathematical Reviews,
August 1997, MR:97h:54017.
"Connectedness im klienen and local
connectedness in C(X)", Mathematical
Reviews, June 1997,
MR:97f:54027
"Further results on the
product of chain-net spaces", Mathematical
Reviews, January 1997, MR
97a:54010.
"On the Cardinality of Urysohn Spaces", Mathematical
Reviews, October 1996,MR 96j:54006.
"Minimal Totally
Disconnected Spaces", Mathematical Reviews,June
1996, MR 96f:54030.
"Some Properties of
Cleavable Spaces", Mathematical
Reviews, December 1995, MR 95m:54005
"On spaces with the
property of weak approximation by points", Mathematical Reviews, May
1995, MR 95e:54004.
"On c-closed
functions", Mathematical Reviews,
February 1994, MR 94b:54044.
"Almost discrete
SV-spaces", Mathematical Reviews,
November 1993, MR 93k:54040.
"A note on the Katetov Shirota theorem", Mathematical Reviews, February,1993, MR 93b:54023.
"On the Cartesian
products of Lindelof spaces with one factor
hereditarily Lindelof",
Mathematical Reviews,
November 1992, MR 92k:54012.
"Uniform topologies on
function spaces and topologies on power set", Mathematical Reviews,
October 1992, MR92j:54013.
"A note on topological
spaces", Mathematical Reviews,
October, 1992, MR 92j:54002.
"Ideally equivalent
topologies and semitopological properties", Mathematical Reviews, October,
1992, MR92j:54001.
"On nearly para-Lindelof spaces", Mathematical Reviews, July 1992, MR 92g:54025.
"Some advances in the
study of the normality of the
-products", Mathematical
Reviews, July
1992, MR92g:54007.
"On strongly s-regular
spaces", Mathematical Reviews,
June 1992, MR 92f:54018.
"Extensions of closure
and proximity spaces", Mathematical
Reviews, May 1992, MR
92e:54025.
Minimal topologies of almost
para-Lindelof spaces", Mathematical Reviews, May 1992, MR
92e:54021.
"Perfect Spaces", Mathematical Reviews, May 1992, MR
92e:54019.
"A class of
D-Proximities", Mathematical Reviews,
February 1992, MR 92b:54056.
"Property Q", Mathematical Reviews, January 1992, MR
92a:54029.
"A generalization of
scattered spaces", Mathematical
Reviews, January 1992, MR 92a:54028.
"The G-compactification of a locally compact Hausdorff
space", Mathematical Reviews,
January
1992, MR92a:54026.
"Further investigations
on Wallman-type extensions", Mathematical Reviews, January 1992, MR
92:54024.
"The extending of
closed maps over perfect compactifications", Mathematical Reviews, January
1992, MR92a:54015.
"Properties of locally
H-closed spaces", Mathematical
Reviews, November 1991, MR 91k:54051.
"On para-H-closed
spaces", Mathematical Reviews,
November 1991, MR 91k:54045.
Reviewed for D. C. Heath and
Co. the book "College Algebra" by Larson/Hostetler, 3e., April
1991.
Reviewed for Saunders
Publishing Co. the book "College Algebra" by Coleman/Levitan/Shapiro,
3e.,June
1991.
"Separation properties
and n-point topological extensions", Mathematical
Reviews, October
1991, MR 91j:54043.
"Near compactifications", Mathematical Reviews, August 1991, MR 91h:54038.
"Powers of the Sierpinski space", Mathematical
Reviews, July 1991, MR 91g:54027.
"On P-chain-net
spaces", Mathematical Reviews,
June 1991, MR 91f:54001.
"Generalizations of the
property D(
)", Mathematical
Reviews, May 1991, MR 91e:54053.
"On ultraconnected
spaces", Mathematical Reviews,
April 1991, MR 91d:54025.
"Operator approaches of
weakly Hausdorff spaces", Mathematical Reviews, April 1991, MR
91d:54003.
"Inductive open
mappings and spaces with open components", Mathematical Reviews, March
1991, MR 91c:54018.
"On -semi-continuous functions", Mathematical Reviews, March 1991, MR 91c:54017.
"A Cantor diagonal
method for nets", Mathematical
Reviews, March 1991, MR 91c:54004.
"Further investigations
on Wallman-type extensions" ,
Mathematical Reviews, February 1991,
MR 91b:54032.
"Concerning the
equality of 
, 
,and ", Mathematical
Reviews, November 1990, MR
90k:54032.
"Remarks on semiregularity", Mathematical
Reviews, October 1990, MR 90j:54023.
"On the theory of B-
and Br-spaces in general topology", Mathematical Reviews, October 1990,
MR 90j:54010.
"On uniform
connectedness", Mathematical Reviews,
September 1990, MR
90i:54070.
"Generalized Urysohn spaces", Mathematical
Reviews, September 1990,
MR 90i:54067.
"Singular sets and compactifications: a sampler", Mathematical Reviews, September, 1990, MR
901:54065.
"On the question of Jankovic, Reilly and Vamanamurthy",
Mathematical Reviews, September,
1990, MR901:54026.
"A local property
associated with the semilattice of compactifications of a space", Mathematical
Reviews, August1990, MR 90h:54030.
"Properties of
topological spaces and semiregularization
topology", Mathematical Reviews, July
1990, MR90g:54014.
"Semi-T0-identification
spaces, semiregularization spaces, feebly induce spaces, and properties
of topological spaces", Mathematical Reviews, July 1990, MR 90g:54013.
"Some remarks on
strongly compact spaces and semi-compact spaces", Mathematical Reviews,
May 1990, MR90e:54052.
"On spaces in which
every open cover has a weakly cushioned refinement", Mathematical
Reviews, May 1990, MR90e:54047.
"Complete rings of
functions and Wallman-Frink compactifications",
Mathematical Reviews,
April 1990, MR90d:54055.
"On a generalization of
Lindelof space", Mathematical Reviews, April 1990, MR 90d:54052.
"A note on Dp-spaces", Mathematical Reviews, April 1990, MR 90d:54047.
"A note on the homeomorphic image of a Tv-space",
Mathematical Reviews, April 1990, MR
90d:54041.
"On -weakly Hausdorff spaces", Mathematical Reviews, April 1990, MR 90d:54038.
"On the preservation of
Baire category under preimages",
Mathematical Reviews, March 1990,
MR 90c:54010.
"New characterizations
and properties of almost-open and almost-closed functions",
Mathematical Reviews, March 1990, MR 90c:54009.
"Generalized closed
sets of order n and s-T1/2-spaces, Mathematical
Reviews, February 1990,
MR 90b:54013.
"An alternative proof
to a conjecture of A. H. Stone", Mathematical
Reviews, January 1990, MR
90a:54098
"S(n)-spaces
and H-sets", Mathematical Reviews,
January 1990, MR 90a:54061.
"A characterization of
[a, b] compactness", Mathematical
Reviews, January 1990, MR
90a:54059.
"A note on semi compact
spaces", Mathematical Reviews, January
1990, MR 90a:54058.
"A characterization of
maximal connected spaces and maximal arcwise
connected spaces",
Mathematical Reviews, January 1990, MR 90a:54055.
"A theorem of strong radiality of mapping spaces", Mathematical Reviews, January 1990, MR
90a:54045.
"A topological version
of a combinatorial theorem of Katetov", Mathematical Reviews, January
1990, MR90a:54036.
"Limitation topologies
on function spaces", Mathematical
Reviews, November
1989, MR
89k:54037.
"Properties of 
-compact spaces", Mathematical
Reviews, September
1989, MR 89i:54033.
"A theorem on function
spaces", Mathematical Reviews, July 1989, MR
89h:54009.
"
-regular spaces", Mathematical
Reviews, June
1989, MR 89f:54042.
"Impartible
spaces", Mathematical Reviews, June 1989, MR
89f:54040.
"Adequate families of
sets and function spaces", Mathematical
Reviews, June 1989,
MR
89f:54035.
"On Perfect
Functions", Mathematical Reviews,
June, 1989, MR 89f: 54028.
"College Algebra by
Grossman", Saunders College Publishing Co. April, 1989.
"Conditions of angelic
type in function spaces", Mathematical
Reviews, May, 1989, MR
89e:54028.
"Some embeddings
related to C* -embeddings", Mathematical
Reviews, March 1989, MR 98c
54030.
"On H(1)-closed
spaces II", Mathematical Reviews,
September, 1988, MR 88i-54015.
"Locally strongly H(P)-closed spaces",
Zentralblatt Fur Mathematik,
June 1988, Rev. 54011.