ccsu  Department of Mathematical Sciences 
School of Arts and Sciences
Central Connecticut State University
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  Ivan Gotchev's

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Mathematics Department Colloquium


Important Information for Students

I am a Co-PI in the NSF grant "CSMP Scholarship Program at Central Connecticut State University". The amount of the grant is $600,000 and will continue until January 31, 2016. If you are or planning to be a CCSU student majoring in CS, Math or Physics, please click here to find out if you are qualified for this scholarship. If you have any questions please contact me.


phonering.gif (8196 bytes) Office:
Marcus White 115A		 Phone:
(860) 832-2839		 envelope.gif (14893 bytes)
Fax:
(860) 832-3753		 E-mail address: gotchevi@ccsu.edu


Current Teaching - Summer 2011
May 31 - June 30, 2011

MTWR 3:00 – 5:00 PM MATH 125 - Applied Calculus NC 20102
MTWR 5:30 – 7:30 PM MATH 101 - Intermediate Algebra NC 20102


Office Hours - Summer 2012
May 29 - June 28

PLACE MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
MW 115A 2:10 - 2:50 2:10 - 2:50 2:10 - 2:50 2:10 - 2:50  
NC 20102 5:05 - 5:25 5:05 - 5:25 5:05 - 5:25 5:05 - 5:25  
Other times by appt.          


Research Interests

1) General, Categorical, and Geometric Topology and their Applications

Product spaces; continuous extensions of functions defined on subspaces of product spaces; cardinal invariants; covering properties; compact, pseudocompact, countable compact and sequentially compact spaces; closure operators; P-minimal and P-closed spaces; sequential convergence; sequential spaces; extensions of topological spaces; supertopological spaces; neighborhood spaces; separation axioms; proximities; Noetherian spaces; applications of topology in number theory and geographic information systems.

2) Graph Theory

Hamiltonian graphs; generalized Petersen graphs.


  • Selected Publications

    • 1) Superneighborhood spaces and extensions of topological spaces, Ann. Univ. de Sofia, Fac. Math. et Mec. 80 (1986), 31 – 43.
    PDF File

    2) Sequentially closed and absolutely closed spaces, Bolletino U.M.I., (7) 1-B, (1987), 849 – 860.
    Co-author: D. Dikranjan
    PDF File

    3) Topological spaces with no compactly determined extensions, Proceedings of the Seventeenth Spring Conference of the Union of Bulgarian Mathematicians, Sunny Beach, Bulgaria, April 6-9, (1988), 151 – 155.
    PDF File

    4) Sequentially P-closed spaces, Rend. dell'Instituto di Math. dell'Univ. di Trieste, Vol. XX-FASC. I - 1988, 1 – 17.
    PDF File

    5) On sequential properties of Noetherian topological spaces, Topology Proc., 28 (2004), No. 2, 487 – 501.
    Co-author: H. Minchev
    PDF File (The original publication is available at http://at.yorku.ca/b/a/a/a/35.htm).

    6) Dense C-embedded subspaces of products, Scientiae Mathematicae Japonicae, 64 (2006), No. 3, 509 – 515.
    Co-authors: W. W. Comfort and L. Recoder-Núñez
    PDF File (The original publication is available at http://www.jams.or.jp/notice/scmj/64-3.html).

    7) M-embedded subspaces of certain product spaces, Topology and its Applications,155 (2008), No. 17-18, 2188 – 2195.
    Co-authors: W. W. Comfort and L. Recoder-Núñez
    PDF File (The original publication is available at http://dx.doi.org/10.1016/j.topol.2007.04.017).

    8) On the continuity of factorizations, Applied General Topology, 9 (2008), No. 2, 263 - 280.
    Co-authors: W. W. Comfort and L. Recoder-Núñez
    PDF File

    9) Functional dependence on small sets of indices, Scientiae Mathematicae Japonicae, 69 (2009), No. 3, 363 – 377.
    Co-author: W. W. Comfort
    PDF File (The original publication is available at http://www.jams.or.jp/notice/scmj/69-3.html).

    10) Continuous mappings on subspaces of products with the κ-box topology, Topology and its Applications, 156 (2009), No. 16, 2600 – 2608.
    Co-author: W. W. Comfort
    PDF File (The original publication is available at http://dx.doi.org/10.1016/j.topol.2009.04.015.)

    11) On two conjectures about faulty hypercubes, Graph Theory Notes of New York, LVII (2009), 34 – 38.
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

    12) Path coverings with prescribed ends of the n-dimensional binary hypercube, Congressus Numerantium, 197 (2009), 193 – 205.
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

    13) Hamiltonian laceability of hypercubes with faults of charge one, Congressus Numerantium, 198 (2009), 15 – 30.
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

    14) On k-semi-perfect 1-factorizations of Qn and Craft's conjecture, Graph Theory Notes of New York, LVIII (2010), 36 – 41.
    Co-author: V. Gochev
    PDF File

    15) On path coverings of hypercubes with one faulty vertex, Graph Theory Notes of New York, LVIII (2010), 42 – 47.
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

    16) Embedded paths and cycles in faulty hypercubes, Journal of Combinatorial Optimization, 20 (2010) No. 3, 224 – 248.
    Co-author: N. Castañeda
    PDF File (The original publication is available at www.springerlink.com, doi: 10.1007/s10878-008-9205-6.)

    17) Classifying simple closed curve pairs on the 2-sphere and a generalization of the Schoenflies theorem, Topology and its Applications, 158 (2011), No. 6, 748 – 760.
    Co-authors: R. Franzosa and D. Look
    PDF File (The original publication is available at doi:10.1016/j.topol.2011.01.016.)

    18) Continuous extensions of functions defined on subsets of products, Topology and its Applications, 159 (2012), No. 9, 2331 - 2337.
    Co-author: W. W. Comfort
    PDF File (The original publication is available at doi: 10.1016/j.topol.2011.08.030.)


  • Papers Submitted or Accepted for Publication

    • 19) Path coverings with prescribed ends in faulty hypercubes (submitted August 2007).
    Co-author: N. Castañeda
    PDF File

    20) Proof of Locke's conjecture, I (submitted November 2009).
    Co-author: N. Castañeda
    PDF File

    21) Cardinal invariants for κ-box products: weight, density character and Souslin number (submitted October 2010).
    Co-author: W. W. Comfort
    PDF File

    22) Continuous extensions of functions defined on subsets of products with the κ-box topology (submitted May 2012).
    Co-authors: W. W. Comfort, D. Rivers
    PDF File


  • Work in Progress

    • 23) Cardinal inequalities for T1-spaces (preprint).

    24) Cardinal inequalities for Hausdorff spaces (preprint).

    25) Proof of Locke's conjecture, II (preprint).
    Co-authors: N. Castañeda, V. Gochev, F. Latour

    26) On the infinitude of prime divisors of the range of a non-constant polynomial (preprint).

    27) Cardinal inequalities for S(n)-spaces (preprint).
    Co-author: L. Kočinac