Central Connecticut State UniversityCCSU Mathematics

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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,

    Bollettino dell'Unione Matematica Italiana (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 Shoenflies 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

  1. Path coverings with prescribed ends in faulty hypercubes

    (submitted August 2007).
    Co-author: N. Castañeda PDF File

  2. Proof of Locke's conjecture, I

    (submitted November 2009).
    Co-author: N. Castañeda PDF File

  3. Cardinal invariants for κ-box products: weight, density character and Souslin number

    (submitted October 2010).
    Co-author: W. W. Comfort PDF File

  4. 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

  1. Cardinal inequalities for T1-spaces

    (preprint).

  2. Cardinal inequalities for Hausdorff spaces

    (preprint).

  3. Proof of Locke's conjecture, II

    (preprint).
    Co-authors: N. Castañeda, V. Gochev, F. Latour

  4. On the infinitude of prime divisors of the range of a non-constant polynomial

    (preprint).

  5. Cardinal inequalities for S(n)-spaces

    (preprint).
    Co-author: L. Kočinac

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