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Department of Mathematical Sciences
School of Arts and Sciences
Central Connecticut State University
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Mathematics Department Colloquium


Important Information for Students

I am a Co-PI in the NSF grant "STEM Scholarship Program at Central Connecticut State University". The amount of the grant is $478,302 and will continue until 2011. If you are or planning to be a CCSU student majoring in Math, 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 Fall 2009

TR 9:30 – 11:10 AM MATH 152 - Calculus I (section 03) EW 211
TR 2:00 – 3:40 PM MATH 152 - Calculus I (section 01) FD 107


Office Hours - Fall 2009

TIME MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
11:20 - 12:30   11:20 - 12:30   11:20 - 12:30  
12:00 - 1:50         12:00 - 1:50
Other times by appt.          


Research Interests

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

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; cardinal invariants; product spaces; continuous functions defined on product spaces; 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.)


  • Papers Submitted or Accepted for Publication

    • 11) Embedded paths and cycles in faulty hypercubes, in press: Journal of Combinatorial Optimization (2009).
    Published online: 7 January, 2009, DOI: 10.1007/s10878-008-9205-6.
    Co-author: N. Castañeda
    The original publication is available at www.springerlink.com.

    12) Path coverings with prescribed ends of the n-dimensional binary hypercube (to appear in Congressus Numerantium).
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

    13) Hamiltonian laceability of hypercubes with faults of charge one (to appear in Congressus Numerantium).
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

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

    15) Classifying simple closed curve pairs on the 2-sphere and a generalization of the Shoenflies theorem (submitted December 2008).
    Co-authors: R. Franzosa and D. Look
    PDF File

    16) On two conjectures about faulty hypercubes (submitted January, 2009).
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

    17) On k-semi-perfect 1-factorizations of Qn and Craft's conjecture (submitted February, 2009).
    Co-author: V. Gochev
    PDF File

    18) On path coverings of hypercubes with one faulty vertex (submitted June, 2009).
    Co-authors: N. Castañeda, V. Gochev, F. Latour
    PDF File

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

  • Work in Progress

    • 20) Cardinal invariants for κ-box products: weight, density character and Souslin number (preprint).
    Co-author: W. W. Comfort

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

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

    23) C-embedded Gδ-dense subsets of products (preprint).
    Co-author: W. W. Comfort

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

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