Small donations to big change: Panel discusses 20 years of CEP
Professor
Mathematical Sciences
Office
Marcus White Hall
111
Monday
8:50 am - 9:20 am
1:30 pm - 2:35 pm
Wednesday
8:50 am - 9:20 am
1:30 pm - 2:35 pm
Friday
8:50 am - 9:20 am
1:30 pm - 2:50 pm
Or by appointment
Education
Areas of Expertise
- 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. - Graph Theory
Hamiltonian graphs
Publications, Research & Presentations
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Publications in peer-reviewed journals
- Superneighborhood spaces and extensions of topological spaces, 80 (1986), no. 1, 31 鈥 43.
- Sequentially closed and absolutely closed spaces, Boll. Un. Mat. Ital. B(7) 1 (1987), no. 3, 849 鈥 860.
Co-author: D. Dikranjan - Topological spaces with no compactly determined extensions, , Sunny Beach, Bulgaria, April 6-9, (1988), 151 鈥 155.
- Sequentially P-closed spaces, 20 (1988), no. 1, 1 鈥 17.
(The original publication is available via .) - On sequential properties of Noetherian topological spaces, 28 (2004), No. 2, 487 鈥 501.
Co-author: H. Minchev
(The original publication is available via .) - Dense C-embedded subspaces of products, 64 (2006), No. 3, 509 鈥 515.
Co-authors: W. W. Comfort and L. Recoder-N煤帽ez
(The original publication is available via .) - M-embedded subspaces of certain product spaces, 155 (2008), No. 17-18, 2188 鈥 2195.
Co-authors: W. W. Comfort and L. Recoder-N煤帽ez
(The original publication is available via .) - On the continuity of factorizations, 9 (2008), No. 2, 263 鈥 280.
Co-authors: W. W. Comfort and L. Recoder-N煤帽ez
(The original publication is available via .) - Functional dependence on small sets of indices, 69 (2009), No. 3, 363 鈥 377.
Co-author: W. W. Comfort
(The original publication is available via .) - Continuous mappings on subspaces of products with the 魏-box topology, 156 (2009), No. 16, 2600 鈥 2608.
Co-author: W. W. Comfort
(The original publication is available via .) - On two conjectures about faulty hypercubes, LVII (2009), 34 鈥 38.
Co-authors: N. Casta帽eda, , F. Latour - Path coverings with prescribed ends of the n-dimensional binary hypercube, Congr. Numer. 197 (2009), 193 鈥 205.
Co-authors: N. Casta帽eda, , F. Latour - Hamiltonian laceability of hypercubes with faults of charge one, Congr. Numer. 198 (2009), 15 鈥 30.
Co-authors: N. Casta帽eda, , F. Latour - On k-semi-perfect 1-factorizations of Qn and Craft's conjecture, LVIII (2010), 36 鈥 41.
Co-author: - On path coverings of hypercubes with one faulty vertex, LVIII (2010), 42 鈥 47.
Co-authors: N. Casta帽eda, , F. Latour - Embedded paths and cycles in faulty hypercubes, 20 (2010), No. 3, 224 鈥 248.
Co-author: N. Casta帽eda
(The original publication is available at Springer via .) - Classifying simple closed curve pairs on the 2-sphere and a generalization of the Schoenflies theorem, Topology Appl. 158 (2011), No. 6, 748 鈥 760.
Co-authors: R. Franzosa and
(The original publication is available via .) - Continuous extensions of functions defined on subsets of products, 159 (2012), No. 9, 2331 鈥 2337.
Co-author: W. W. Comfort
(The original publication is available via .) - Continuous extensions of functions defined on subsets of products with the 魏-box topology, 42 (2013), 209 鈥 219.
Co-authors: W. W. Comfort and D. Rivers
(The original publication is available via .) - The non-Hausdorff number of a topological space, 44 (2014), 249 鈥 256.
(The original publication is available via .) - Path coverings with prescribed ends in faulty hypercubes, 31 (2015), 833 鈥 869.
Co-author: N. Casta帽eda
(The original publication is available at Springer via .) - Regular G未-diagonals and some upper bounds for cardinality of topological spaces, 149 (2016), No. 2, 324 鈥 337.
Co-authors: M. Tkachenko and V. Tkachuk
(The original publication is available at Springer via .) - Cardinal invariants for 魏-box products: weight, density character and Souslin number, 516 (2016), 1 鈥 41.
Co-author: W. W. Comfort
(The original publication is available via .) - The non-Urysohn number of a topological space, 43 (2017), No. 1, 223 鈥 235.
(The original publication is available via .) - Generalizations of two cardinal inequalities of Hajnal and Juh谩sz, 221 (2017), 425 鈥 431.
(The original publication is available via .) - Proof of Locke's conjecture, I, 6 (2017), No. 2, 345 鈥 371.
Co-author: N. Casta帽eda
(The original publication is available via .) - Cardinal inequalities for Urysohn spaces involving variations of the almost Lindel枚f degree, 44 (2018), 195 鈥 212.
(The original publication is available via .) - More on the cardinality of S(n)-spaces, 44 (2018), 227 鈥 242.
Co-author: L. Ko膷inac
(The original publication is available via .) - Cardinalities of weakly Lindel枚f spaces with regular G_魏-diagonals, 259 (2019), 80 鈥 89.
(The original publication is available via .) - Cardinal inequalities for S(n)-spaces, 159 (2019), No. 1, 229 鈥 245.
(The original publication is available at Springer via .) - Cardinal inequalities with Shanin number and 蟺-character, 29 (2022), no. 3, 389 鈥 403.
Co-author: V. Tkachuk
(The original publication is available at Project Euclid via .) - More on cardinality bounds involving the weak Lindel枚f degree, 46 (2023), no. 4, 745 鈥 760.
Co-authors: and
(The original publication is available via .) - On the upper bound of the cardinality of Hausdorff topological spaces, , 338 (2023), Article 108651.
(The original publication is available via .) - On spaces with a 蟺-base with elements with compact closure, 118 (2024), no. 1, article 26.
Co-authors: and
(The original publication is available via .)
Submitted or Accepted for Publication
- Strengthening of de Groot鈥檚 and Spadaro鈥檚 inequalities for Urysohn spaces (accepted for publication in , article 109643, available online 10/21/2025).
Work in Progress
- Proof of Locke's conjecture, II (preprint).
Co-authors: N. Casta帽eda, , F. Latour - On the infinitude of prime divisors of the range of a non-constant polynomial (preprint).
- Superneighborhood spaces and extensions of topological spaces, 80 (1986), no. 1, 31 鈥 43.
Memberships & Affiliations
American Mathematical Society (AMS)
Mathematical Association of America (MAA)
Courses Taught
Fall 2025
MWF 9:25 am - 10:35 pm - , EDB 111
MWF 10:50 am - 12:00 pm - , EDB 111
MWF 12:15 pm - 1:25 pm - , EDB 111
Calculus I
Calculus I
Calculus I
4 Calculus I
Calculus II
Calculus II
Calculus II
Calculus II
Office Hours Fall 2025 in MW 111
MWF 8:50 am 鈥 9:20 am, MW 1:30 pm 鈥 2:35 pm, F 1:30 pm 鈥 2:50 pm,
or by appointment