Ivan S. Gotchev

Publications in peer-reviewed journals

1. Superneighborhood spaces and extensions of topological spaces, Annuaire Univ. Sofia Fac. Math. Mec. 80 (1986), no. 1, 31 – 43.
2. Sequentially closed and absolutely closed spaces, Boll. Un. Mat. Ital. B(7) 1 (1987), no. 3, 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. Istit. Mat. Univ. Trieste 20 (1988), no. 1, 1 – 17.
5. On sequential properties of Noetherian topological spaces, Topology Proc. 28 (2004), No. 2, 487 – 501.
   Co-author: H. Minchev
6. Dense C-embedded subspaces of products, Sci. Math. Jpn. 64 (2006), No. 3, 509 – 515.
   Co-authors: W. W. Comfort and L. Recoder-Núñez
7. 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
8. On the continuity of factorizations, Appl. Gen. Topol. 9 (2008), No. 2, 263 – 280.
   Co-authors: W. W. Comfort and L. Recoder-Núñez
9. Functional dependence on small sets of indices, Sci. Math. Jpn. 69 (2009), No. 3, 363 – 377.
   Co-author: W. W. Comfort
10. Continuous mappings on subspaces of products with the κ-box topology, Topology Appl. 156 (2009), No. 16, 2600 – 2608.
    Co-author: W. W. Comfort
11. 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
12. 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
13. 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
14. 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
15. 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
16. Embedded paths and cycles in faulty hypercubes, J. Comb. Optim. 20 (2010), No. 3, 224 – 248.
    Co-author: N. Castañeda
17. 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
18. Continuous extensions of functions defined on subsets of products, Topology Appl. 159 (2012), No. 9, 2331 – 2337.
    Co-author: W. W. Comfort
19. 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
20. The non-Hausdorff number of a topological space, Topology Proc. 44 (2014), 249 – 256.
21. Path coverings with prescribed ends in faulty hypercubes, Graphs and Combinatorics 31 (2015), 833 – 869.
    Co-author: N. Castañeda
22. 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
23. Cardinal invariants for κ-box products: weight, density character and Souslin number, Dissertationes Mathematicae 516 (2016), 1 – 41.
    Co-author: W. W. Comfort
24. The non-Urysohn number of a topological space, Houston J. Math. 43 (2017), No. 1, 223 – 235.
25. Generalizations of two cardinal inequalities of Hajnal and Juhász, Topology Appl. 221 (2017), 425 – 431.
26. Proof of Locke's conjecture, I, Palestine Journal of Mathematics 6 (2017), No. 2, 345 – 371.
    Co-author: N. Castañeda
27. Cardinal inequalities for Urysohn spaces involving variations of the almost Lindelöf degree, Serdica Math. J. 44 (2018), 195 – 212.
28. More on the cardinality of S(n)-spaces, Serdica Math. J. 44 (2018), 227 – 242.
    Co-author: L. Kočinac
29. Cardinalities of weakly Lindelöf spaces with regular G_κ-diagonals, Topology Appl. 259 (2019), 80 – 89.
30. Cardinal inequalities for S(n)-spaces, Acta Mathematica Hungarica 159 (2019), No. 1, 229 – 245.
31. Cardinal inequalities with Shanin number and π-character, Bull. Belgian Math. Soc. Simon Stevin, 29 (2022), no. 3, 389 – 403.
    Co-author: V. Tkachuk
32. More on cardinality bounds involving the weak Lindelöf degree, Quaestiones Mathematicae 46 (2023), no. 4, 745 – 760.
    Co-authors:  A. Bella and N. Carlson
33. On the upper bound of the cardinality of Hausdorff topological spaces, Topology Appl., 338 (2023), Article 108651.
34. 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.
    Co-authors:  A. Bella and N. Carlson
35. Strengthening of de Groot’s, Spadaro’s, and Bella's inequalities for Urysohn spaces, Topology Appl., 377 (2026), Article 109643 (available online 10/21/2025).  

 Work in Progress

1.  Proof of Locke's conjecture, II (preprint).
   Co-authors: N. Castañeda, V. Gochev, F. Latour
2. On the infinitude of prime divisors of the range of a non-constant polynomial (preprint).