Connecticut’s Revolutionary legacy offers lessons for today
Professor
Mathematical Sciences
Office
Marcus White Hall
111
Monday
12:10 pm - 12:30 pm
Wednesday
12:30 pm - 2:50 pm
Friday
12:30 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
- Publications in peer-reviewed journals
- Superneighborhood spaces and extensions of topological spaces, Annuaire Univ. Sofia Fac. Math. Mec. 80 (1986), no. 1, 31 – 43
- Sequentially closed and absolutely closed spaces, Boll. Un. Mat. Ital. B(7) 1 (1987), no. 3, 849 – 860
Co-author: D. Dikranjan
PDF File - 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 - Sequentially P-closed spaces, Rend. Istit. Mat. Univ. Trieste 20 (1988), no. 1, 1 – 17
- On sequential properties of Noetherian topological spaces, Topology Proc. 28 (2004), No. 2, 487 – 501
Co-author: H. Minchev - Dense C-embedded subspaces of products, Sci. Math. Jpn. 64 (2006), No. 3, 509 – 515
Co-authors: W. W. Comfort and L. Recoder-Núñez - M-embedded subspaces of certain product spaces, Topology Appl. 155 (2008), No. 17-18, 2188 – 2195
Co-authors: W. W. Comfort and L. Recoder-Núñez - On the continuity of factorizations, Appl. Gen. Topol. 9 (2008), No. 2, 263 – 280
Co-authors: W. W. Comfort and L. Recoder-Núñez - Functional dependence on small sets of indices, Sci. Math. Jpn. 69 (2009), No. 3, 363 – 377
Co-author: W. W. Comfort - Continuous mappings on subspaces of products with the κ-box topology, Topology Appl. 156 (2009), No. 16, 2600 – 2608
Co-author: W. W. Comfort - On two conjectures about faulty hypercubes, Graph Theory Notes N. Y. LVII (2009), 34 – 38
Co-authors: N. Castañeda, V. Gochev, F. Latour
PDF File - Path coverings with prescribed ends of the n-dimensional binary hypercube, Congr. Numer. 197 (2009), 193 – 205
Co-authors: N. Castañeda, V. Gochev, F. Latour
PDF File - Hamiltonian laceability of hypercubes with faults of charge one, Congr. Numer. 198 (2009), 15 – 30
Co-authors: N. Castañeda, V. Gochev, F. Latour
PDF File - On k-semi-perfect 1-factorizations of Qn and Craft's conjecture, Graph Theory Notes N. Y. LVIII (2010), 36 – 41
Co-author: V. Gochev
PDF File - On path coverings of hypercubes with one faulty vertex, Graph Theory Notes N. Y. LVIII (2010), 42 – 47
Co-authors: N. Castañeda, V. Gochev, F. Latour
PDF File - Embedded paths and cycles in faulty hypercubes, J. Comb. Optim. 20 (2010), No. 3, 224 – 248
Co-author: N. Castañeda - Classifying simple closed curve pairs on the 2-sphere and a generalization of the Schoenflies theorem, Topology Appl. 158 (2011), No. 6, 748 – 760
Co-authors: R. Franzosa and D. Look - Continuous extensions of functions defined on subsets of products, Topology Appl. 159 (2012), No. 9, 2331 – 2337
Co-author: W. W. Comfort - Continuous extensions of functions defined on subsets of products with the κ-box topology, Topology Proc. 42 (2013), 209 – 219
Co-authors: W. W. Comfort and D. Rivers - The non-Hausdorff number of a topological space, Topology Proc. 44 (2014), 249 – 256
- Path coverings with prescribed ends in faulty hypercubes, Graphs and Combinatorics 31 (2015), 833 – 869
Co-author: N. Castañeda - Regular Gδ-diagonals and some upper bounds for cardinality of topological spaces, Acta Mathematica Hungarica 149 (2016), No. 2, 324 – 337
Co-authors: M. Tkachenko and V. Tkachuk - Cardinal invariants for κ-box products: weight, density character and Souslin number, Dissertationes Mathematicae 516 (2016), 1 – 41
Co-author: W. W. Comfort - The non-Urysohn number of a topological space, Houston J. Math. 43 (2017), No. 1, 223 – 235
- Generalizations of two cardinal inequalities of Hajnal and Juhász, Topology Appl. 221 (2017), 425 – 431
- Proof of Locke's conjecture, I, Palestine Journal of Mathematics 6 (2017), No. 2, 345 – 371
Co-author: N. Castañeda - Cardinal inequalities for Urysohn spaces involving variations of the almost Lindelöf degree, Serdica Math. J. 44 (2018), 195 – 212
- More on the cardinality of S(n)-spaces, Serdica Math. J. 44 (2018), 227 – 242
Co-author: L. Kočinac - Cardinalities of weakly Lindelöf spaces with regular G_κ-diagonals, Topology Appl. 259 (2019), 80 – 89
- Cardinal inequalities for S(n)-spaces, Acta Mathematica Hungarica 159 (2019), No. 1, 229 – 245
- Cardinal inequalities with Shanin number and π-character, Bull. Belgian Math. Soc. Simon Stevin, 29 (2022), no. 3, 389 – 403
Co-author: V. Tkachuk - More on cardinality bounds involving the weak Lindelöf degree, Quaestiones Mathematicae 46 (2023), no. 4, 745 – 760
Co-authors: A. Bella and N. Carlson - On the upper bound of the cardinality of Hausdorff topological spaces, Topology Appl., 338 (2023), Article 108651 (8 pages)
- On spaces with a π-base with elements with compact closure, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. RACSAM 118 (2024), no. 1, Article 26 (17 pages)
Co-authors: A. Bella and N. Carlson - Strengthening of de Groot’s, Spadaro’s, and Bella's inequalities for Urysohn spaces, Topology Appl., 377 (2026), Article 109643 (12 pages)
- Work in Progress
Memberships & Affiliations
American Mathematical Society (AMS)
Mathematical Association of America (MAA)
Courses Taught
Fall 2026
MWF 9:25 am - 10:35 am - MATH 152 (02) - Calculus I, WD D116
MWF 10:50 am - 12:00 pm - MATH 152 (03) - Calculus I, MS 117
Take-home Exam 1 Calculus I
Take-home Exam 2 Calculus I
Take-home Exam 3 Calculus I
Take-home Exam 4 Calculus I
Office Hours Fall 2026 in MW 111
M 12:10 pm – 12:30 pm, WF 12:30 pm – 2:50 pm,
or by appointment