Kyriakos KeremidisAt the Mathematics Department of the University of the Aegean. |
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CONTACT INFORMATION |
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of Mathematics University of the Aegean Karlovassi, 832 00 Samos Greece Phone : +30 22730 82129, Fax : +30 22730 82007, E-mail : kker@aegean.gr |
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EDUCATION |
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B.Sc. University of Patras, GREECE (Diploma in Mathematics). Southern Illinois University at Carbondale (Master of Arts in Mathematics) Ph.D. Iowa State University (Ph.D in Mathematics). |
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RESEARCH INTERESTS |
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Set Theory, Mathematical Logic, Topology and their applications to Analysis. |
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| PUBLISHED PAPERS | |
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| -. K. Keremedis: "On pseudocompactness and related notions in ZF", to appear in Commentationes Math. Universitatis Carolinae. | |
| -. K. Keremedis: "On pseudocompactness and light compactness of metric spaces in ZF", to appear in Bulletin Polish Acad. Sci. Math. | |
| -. K. Keremedis: "On lightly and countably compact spaces in ZF", Quaestiones Mathematicae https://doi.org/10.2989/16073606.2018.1463300 | |
| -. K. Keremedis: "On metric spaces where continuous real valued functions are uniformly continuous and related notions", Topology and its Applications, 238 (2018), 45-53 | |
| -. K. Keremedis: "Some versions of second countability of metric spaces in ZF and their role to compactness", to appear in Commentationes Math. Universitatis Carolinae | |
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-. K. Keremedis: "Metric spaces on which continuous functions are ' |
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| -. K. Keremedis: "Uniform continuity and normality of metric spaces in ZF", Bulletin Polish Acad. Sci. Math. 65 (2017) 113-124 | |
| -. K. Keremedis: "Second countable UC metric spaces are Lebesgue in ZF", Topology proceedings, 52, (2018) 73-93 | |
| -. K. Keremedis (with H. Herrlich and P. E. Howard): "On extensions of countable filterbases to ultrafilters and ultrafilter compactness", Quaestiones Mathematicae (2017), 1-13 ttps://doi.org/10.2989/16073606.2017.1376229 | |
| -. K. Keremedis: "Two new equivalents of Lindelöf metric spaces", Math. Log. Quart. 64, No.1-2, 37-43 (2018), https://doi.org/10.1002/malq.201600059 | |
| -. K. Keremedis: "Clopen ultrafilters of ω and the cardinality of the Stone space S(ω) in ZF", Topology proceedings, 51 (2018), 1-17 | |
| -. K. Keremedis: "Some notions of separability of metric spaces in ZF and their relation to compactness", Bull. Polish Acad. Sci. Math. 64 (2016), 109-136 | |
| -. K. Keremedis: "On metric spaces where continuous real valued functions are uniformly continuous in ZF", Topology and its Applications, 210 (2016), 366-375 | |
| -. K. Keremedis: "On sequentially compact and related notions of compactness of metric spaces in ZF", Bull. Polish Acad. Sci. Math. 64 (2016), 29-46 | |
| -. K. Keremedis: "Extending T1 topologies to Hausdorff with the same sets of limit points", 49 (2017), 121-133 | |
| -. K. Keremedis (with H. Herrlich and P. E. Howard): "On preimages of ultrafilters in ZF", Commentationes Mathematicae Universitatis Carolinae (2016), https://doi.org/10.14712/1213-7243.2015.159 | |
| -. K. Keremedis: "Non-discrete metrics in ZF and some notions of finiteness", Math. Logic Quart5. 62 (2016), 383-390 | |
| -. K. Keremedis: "On sequentially closed subsets of the real line in ZF", Math. Logic Quart. 61 (2015), 24-31 | |
| -. K. Keremedis (with H. Herrlich and P. E. Howard): "On the metric reflexion of pseudometric spaces in ZF", Commentationes Mathematicae Universitatis Carolinae, 56 (2015), 77-88 | |
| -. K. Keremedis: "On BPI and certain coverings of Cantor cubes", Topology Proc. 45 (2015), 5-8 | |
| -. K. Keremedis (with Horst Herrlich): "Separable connected metric spaces need not have continuum size in ZF", Topology and its applications (2013) | |
| -. K. Keremedis (with E. Hall): "On BPI restricted to Boolean Algebras of size continuum.", Topology Proc. 41 (2013), 111-122. | |
| -. K. Keremedis (with E. Tahtsis): "Wallman Compactifications and Tychonoff's Compactness Theorem in ZF", Topology Proc., 42, (2013) 250-272. | |
| -. K. Keremedis: "On the relative strength of forms of compactness of metric spaces and their countable productivity in ZF",Topology and its Applications, 159, (2012) 3396-3403 | |
| -. K. Keremedis: "The Boolean prime ideal theorem and products of cofinite topologies",(to appear) Math. Logic Quart. | |
| -. K. Keremedis (with E. Hall and E. Tahtsis): "The existence of free ultrafilters on ω does not imply the extension of filters on ω to ultrafilters",Math. Logic Quart. 59 (2013) pp. 158-267. | |
| -. K. Keremedis (with E. Hall): "Cech-Stone compactifications of discrete spaces in ZF and some weak forms of the Boolean Prime Ideal theorem", Top. Proc. 41 (2013) pp. 111-122. | |
| -. K. Keremedis (with H. Herrlich and E. Tahtsis): "Remarks on the Stone space of the integers and the reals and some choice principles for their families of closed sets", Bull. Polish Acad. Sci. Math. 59 (2011), 101-114. | |
| -. K. Keremedis): "Compact and Loeb Hausdorff spaces in ZF and the axiom of choice for families of finite sets",Math. Logic Quart. 58, No 3, (2012) pp. 130-138. | |
| -. K. Keremedis): "On BPI and certain coverings of Cantor cubes",(to appear) Topology Proc. | |
| -. K. Keremedis (with H. Herrlich): "Extending compact topologies to compact Hausdorff topologies in ZF", Topology and its applications 158 (2011) 2279-2286. | |
| -. K. Keremedis (with H. Herrlich): "AC holds iff every compact completely regular topology can be extended to a compact Tychonoff topology", Commentationes Math. Universitatis Carolinae, 52, 1 (2011) 139-143. | |
| -. K. Keremedis (with H. Herrlich): "Remarks on the space N1 in ZF", Topology and its applications, 158 (2011) 229-237. | |
| -. K. Keremedis (with E. Tachtsis): "Extensions of compactness of Tychonoff powers of 2 in ZF", Topology Proc. 37 (2011). | |
| -. K. Keremedis: "Tychonoff products of compact spaces in ZF and closed ultrafilters", Math. Logic Quart, 56 (2010) 475-487 | |
| -. K. Keremedis (with E. Tachtsis): "Restricted forms of the axiom of choice", Journal symbolic Logic, Vol. 75 (2010) n0. 3 996-1006. | |
| -. K. Keremedis (with H. Herrlich and E. Tahtsis): "On Russell and anti Russell cardinals", Quaestiones Mathematicae. Vol 33 (2010), 1-9. | |
| -. K. Keremedis (with E. Tachtsis): "Different versions of a first countable space without choice", Topology and its Applications, 156 (2009) no. 12, 2000-2004. | |
| -. K. Keremedis (with H. Herrlich and E. Tahtsis): "On super second countable and super separable metric spaces", Topology Proc. 33 (2009), 239-249. | |
| -. K. Keremedis (with H. Herrlich): "Topological sums and products in ZF-set theory", Topology and its Applications, 156 (2009) no. 12, 1994-1999. | |
| -. K. Keremedis (with O. De la Cruz, E. Hall, P. Howard and J. E. Rubin): "Unions and the axiom of choice", Math. Logic Quart. 54 (2008), no 6, 652-665. | |
| -. K. Keremedis (with H. Herrlich and E. Tahtsis): "Tychonoff Products of Super Second Countable and Super Separable Metric Spaces", Cahiers Topologie Geom. Differentielle Categoriques, 49 (2008), 267-279. | |
| -. K. Keremedis (with E. Felouzis and E. Tahtsis): "On the compactness and countable compactness of 2^R in ZF", Bulletin of the Polish Academy of Sciences, 55 (2007), 293-302. | |
| -. K. Keremedis (with E. Tachtsis): "Countable compact Hausdorff spaces need not be metrizable in ZF", Proceedings of the American Mathematical Society, 135, no. 4 (2007), 1205-1211. | |
| -. K. Keremedis (with E. Felouzis and E. Tahtsis): "Countable compact scattered T_2 spaces and weak forms of AC", Bulletin of the Polish Academy of Sciences, 54, No. 1 (2006), 75-84. | |
| -. K. Keremedis: "Tychonoff products of two-element sets and some weakenings of the Boolean prime ideal theorem", Bull. Pol. Acad. Sci. Math. 53 (2005), no 4, 349-359 | |
| -. K. Keremedis: "Countable products of compact and Lindelöf metric spaces in ZF and some related properties", in preparation | |
| -. K. Keremedis (with Omar De la Cruz, Eric Hall, Paul Howard, and E. Tachtsis): "Properties of the real line and weak forms of the axiom of choice", [pdf], in preparation | |
| -. K. Keremedis (with Omar De la Cruz, Eric Hall, Paul Howard, and Jean E. Rubin): "Unions and the axiom of choice", in preparation | |
| -. K. Keremedis (with E. Tachtsis): "Choice Principles for Special Subsets of the Real Line", [pdf], Submitted to Math. Logic Quart., (November 2002) | |
| -. K. Keremedis (with E. Tachtsis): "Sequential compactness for subsets of R is countably productive in ZF", [pdf], Submitted to Notre Dame Journal of Formal Logic., (November 2002) | |
| -. K. Keremedis: "Countable Disjoint Unions in Topology and Some Weak Forms of the Axiom of Choice", Submitted to Arch. for Math. Logic. (1998) | |
| -. K. Keremedis (with Omar De la Cruz, Eric Hall, Paul Howard, and Jean E. Rubin): "Metric spaces and the axiom of choice", accepted, Math. Logic Quart., (January 2003) | |
| -. K. Keremedis (with E. Tachtsis and H. Herrlich): "Striking Differences between ZF and ZF+Weak Choice in view of Metric Spaces", [pdf], accepted, Quaestiones Math. (2002). | |
| -. K. Keremedis: "Some weak forms of the Baire category theorem", accepted, Math. Logic Quart. (2002) | |
| -. K. Keremedis: "The failure of the axiom of choice implies unrest in the theory of metric spaces", accepted, Math. Logic Quart. (2002) | |
| -. K. Keremedis (with P. Howard, E. Hall, Omar de la Cruz, J. Rubin): "Products of Compact Spaces and the Axiom of Choice II", accepted, Math. Logic Quart. (2002) | |
| -. K. Keremedis (with P. Howard, E. Hall, Omar de la Cruz, J. Rubin): "Products of Compact Spaces and the Axiom of Choice", Math. Logic Quart. (2001) | |
| -. K. Keremedis (with E. Tachtsis): "Non-constructive properties of well orderable T2 spaces", [pdf], Notre Dame Journal of Formal Logic. 40 No 4 (1999) 548-553 | |
| -. K. Keremedis (with Horst Herrlich): "Powers of 2", Notre Dame Journal of Formal Logic, 40 No 3 (1999) 346-351 | |
| -. K. Keremedis (with E. Tachtsis): "Some weak forms of the axiom of choice restricted to the real line R", [pdf], Math. Logic Quart. 47 (2001) 3, 413-422 | |
| -. K. Keremedis (with P. Howard, J. Rubin, A. Stanley & E. Tachtsis): "Non-constructive properties of the real line", Math. Logic Quart. 47 (2001) 423-431 | |
| -. K. Keremedis (with Ε. Tachsis): "On Loeb and weakly Loeb Hausdorff spaces", [pdf], Scient. Math. Jap. 83 No 2, (2001) 3, 413-422 | |
| -. K. Keremedis: "Disasters in topology without the axiom of choice", [pdf], accepted, Arch. for Math. Logic. 40 (2001) 569-580 | |
| -. K. Keremedis: "The compactnes of 2R and some weak forms of the axiom of choice", [pdf], Math. Logic Quart. 46 (2000) 4, 569-571 | |
| -. K. Keremedis: "On infinite trees without infinite chains or antichains", Math. Jap. No 2 (2000) 4, 175-178 | |
| -. K. Keremedis: "The Vector space Kinna-Wagner Principle is equivalent to the axiom of choice", Math. Logic Quart. 47 (2001) 2, 205-210 | |
| -. K. Keremedis (with Horst Herrlich): "On countable products of finite Hausdorff spaces", Math. Logic Quart. 46, (2000) 4, 537-542. | |
| -. K. Keremedis (with E. Tachtsis): "Compact metric spaces and weak forms of AC", [pdf], Math. Logic Quart. 47, (2001) 1, 117-128 | |
| -. K. Keremedis: "On Weierstrass compact pseudometric spaces and a weak form of the axiom of choice", [pdf], Topology and its Applications, 108, (2000) 75-78 | |
| -. K. Keremedis (with Horst Herrlich): "The Baire category theorem and choice", Topology and its Applications, 108, (2000) 157-167 | |
| -. K. Keremedis (with P. Howard, H. Rubin and A. Stanley): "Paracompactness of metric spaces and the axiom of choice", accepted, Math. Logic Quart. 46, (1999) | |
| -. K. Keremedis (with E. Tachtsis): "On Lindelöf metric spaces and weak forms of the axiom of choice", [pdf], Math. Logic Quart. 46, (2000) 35-44 | |
| -. K. Keremedis (with Horst Herrlich): "Products, the Baire category theorem, and the axiom of dependent choice", Comment. Math. Univ. Carolinae, 40, 4 (1999) 771-775 | |
| -. K. Keremedis (with E. Tachtsis): "On the extensibility of closed filters in Τ1 spaces and the existence of well orderable filter bases", Comment. Math. Univ. Carolinae, 40, 2 (1999) 343 - 353 | |
| -. K. Keremedis (with P. Howard, H. Rubin and A. Stanley): "Compactness in countable Tychonoff products and choice", Math. Logic Quart. 46 (2000), 3-16 | |
| -. K. Keremedis: "Some remarks on category of the real line", Arch. for Math. Logic, (1999), 1-10 | |
| -. K. Keremedis: "Weak Hausdorff gaps and the p < t problem", Math. Logic Quart. 45, (1999), 95-104 | |
| -. K. Keremedis (με P. Howard, H. Rubin and J. Rubin): "Disjoint unions of topological spaces and choice", Math. Logic Quart., 44, (1998) 493-508 | |
| -. K. Keremedis (with P. Howard, H. Rubin and J. Rubin): "Versions of normality and some weak forms of the axiom of choice", Math. Logic Quart., 44 (1998) 367-382 | |
| -. K. Κeremedis: "Filters, Antichains and Towers in topological spaces and the axiom of choice", Math. Logic Quart. 44 (1998), 359-366 | |
| -. K. Keremedis: "Some equivalents of AC in Algebra II", Algebra Univers., 39 (1998), 163-169 | |
| -. K. Keremedis: "Extending independent sets to bases and the axiom of choice", Math. Logic Quart. 48 (1998) | |
| -. Κ. Keremedis: "Continuous real valued functions in T4 spaces", Math. Jap. 46, No. 3, (1997), 503-508 | |
| -. Κ. Keremedis: "Some equivalents of the axiom of choice in Algebra", Algebra Univers., 36 (1996), 574-572. | |
| -. Κ. Keremedis: "Bases for vector spaces over the two element field and the axiom of choice", Proc. Amer. Math. Soc. 124 (1996) | |
| -. Κ. Keremedis: "On the covering and the additivity number of the real line", Proc. Amer. Math. Soc. 123, (1995) | |
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-. Κ. Keremedis: "Partition Reals and the Consistency of t < add(R)", Math. Logic Quart. 39, (1993) |
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-. Κ. Keremedis: "A note on Shoenfield`s unramified forcing", Zeitschr. f. math. Logik und Grundlagen d. Math. 37, (1991) |
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| -. Κ. Keremedis and D. E. Sanderson: "A version of the topological form of GMA(ω1-centered)", Bulletin Mathematique 4, (1990) | |
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-. Κ. Keremedis: "A version of the axiom pω and its relation to Topology", Bulletin Mathematique 3, (1990) |
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| -. Κ. Keremedis: "A topological characrerization of GCH", Pure and applied Mathematika Sciences, Vol. XXXI, No. 1-2, (1990) | |
| -. Κ. Keremedis and D. E. Sanderson: "Topological results from Martin`s Axiom and Axiom p for higher cardinals", Pure and applied Mathematika Sciences, Vol. XXXI, No. 1-2, (1990) | |
| -. Κ. Keremedis and A. Abian: "On the associativity and commutativity of multiplication of infinite matrices", Int. J. Math. Educ. Sci. Technol., (1988) | |
| -. K. Keremedis and A. Abian : "Unramified forcing preserving the law of double negation", Arch. for Math. Logic., (1987) | |
| WORKING PAPERS | |
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| -. K. Keremedis (with E. Hall): "Independent families and some notions of finiteness", [pdf] | |
| -. K. Keremedis (with H. Herrlich and P. Howard): "Preimages of ultrafilters need not extend to ultrafilters in ZF", [pdf] | |
