At the Mathematics Department of the University of the Aegean.

CONTACT INFORMATION

 
Department of Mathematics
University of the Aegean
Karlovassi,  832 00 Samos
Greece
Phone : +30 22730 33914,  Fax : +30 22730 33896,
E-mail : kker@aegean.gr

EDUCATION

  

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).

RESEARCH INTERESTS

 Set Theory, Mathematical Logic, Topology and their applications to Analysis.
PUBLISHED PAPERS
1.  Abian and Κ. Keremedis: "Unramified forcing preserving the law of double negation", Arch. for Math. Logic., (1987)
2.  Κ. Keremedis and A. Abian: "On the associativity and commutativity of multiplication of infinite matrices",  Int. J. Math. Educ.  Sci. Technol., (1988)
3.  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)
4.  Κ. Keremedis: "A topological characrerization of GCH", Pure and applied Mathematika Sciences, Vol. XXXI, No. 1-2, (1990)

5.  Κ. Keremedis: "A version of the axiom pω and its relation to Topology", Bulletin Mathematique 3, (1990)
6.  Κ. Keremedis and D. E. Sanderson: "A version of the topological form of GMA(ω1-centered)", Bulletin Mathematique 4, (1990)

7.  Κ. Keremedis: "A note on Shoenfield`s unramified forcing", Zeitschr. f. math. Logik und Grundlagen d. Math. 37, (1991)

8.  Κ. Keremedis: "Partition Reals and the Consistency of t < add(R)", Math. Logic Quart. 39, (1993)
9.  Κ. Keremedis: "On the covering and the additivity number of the real line", Proc. Amer. Math. Soc. 123, (1995)
10. Κ. Keremedis: "Bases for vector spaces over the two element field and the axiom of choice", Proc. Amer. Math. Soc. 124 (1996)
11. Κ. Keremedis: "Some equivalents of the axiom of choice in Algebra", Algebra Univers., 36 (1996), 574-572.
12. Κ. Keremedis: "Continuous real valued functions in T4 spaces", Math. Jap. 46, No. 3, (1997), 503-508
13. K. Keremedis: "Extending independent sets to bases and the axiom of choice", Math. Logic Quart. 48 (1998)
14. K. Keremedis: "Some equivalents of AC in Algebra II", Algebra Univers., 39 (1998), 163-169
15. K. Κeremedis: "Filters, Antichains and  Towers in topological spaces and the axiom of choice",  Math. Logic Quart. 44 (1998), 359-366
16. 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
17. K. Keremedis (με P. Howard, H. Rubin and J. Rubin): "Disjoint unions of topological spaces and choice", Math. Logic Quart., 44, (1998) 493-508
18. K. Keremedis: "Weak Hausdorff gaps and the p < t problem", Math. Logic Quart.  45, (1999), 95-104
19. K. Keremedis: "Some remarks on category of the real line", Arch. for Math. Logic, (1999), 1-10
20. K. Keremedis (with P. Howard, H. Rubin and A. Stanley): "Compactness in countable Tychonoff products and choice", Math. Logic Quart. 46 (2000), 3-16
21. 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
22. 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
23. K. Keremedis (with E. Tachtsis): "On Lindelof metric spaces and weak forms of the axiom of choice", [pdf], Math. Logic Quart. 46, (2000) 35-44
24. 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)
25. K. Keremedis (with Horst Herrlich): "The Baire category theorem and choice", Topology and its Applications, 108, (2000) 157-167
26. 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
27. K. Keremedis (with E. Tachtsis): "Compact metric spaces and weak forms of AC", [pdf], Math. Logic Quart. 47, (2001) 1, 117-128
28. K. Keremedis (with Horst Herrlich): "On countable products of finite Hausdorff spaces", Math. Logic Quart. 46, (2000) 4, 537-542.
29. K. Keremedis: "The Vector space Kinna-Wagner Principle is equivalent to the axiom of choice", Math. Logic Quart. 47 (2001) 2, 205-210
30. K. Keremedis: "On infinite trees without infinite chains or antichains", Math. Jap. No 2 (2000) 4, 175-178
31. K. Keremedis: "The compactnes of 2R and some weak forms of the axiom of choice", [pdf], Math. Logic Quart. 46 (2000) 4, 569-571
32. K. Keremedis: "Disasters in topology without the axiom of choice", [pdf], accepted, Arch. for Math. Logic. 40 (2001) 569-580
33. K. Keremedis (with Ε. Tachsis): "On Loeb and weakly Loeb Hausdorff spaces", [pdf], Scient. Math. Jap.  83 No 2, (2001) 3, 413-422
34. 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
35. 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
36. K. Keremedis (with Horst Herrlich): "Powers of 2", Notre Dame Journal of Formal Logic, 40 No 3 (1999) 346-351
37. 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
38. 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)
39. 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)
40. K. Keremedis: "The failure of the axiom of choice implies unrest in the theory of metric spaces", accepted, Math. Logic Quart. (2002)
41. K. Keremedis: "Some weak forms of the Baire category theorem", accepted, Math. Logic Quart. (2002)
42. 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).
43. 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)
44. K. Keremedis: "Countable Disjoint Unions in Topology and Some Weak Forms of the Axiom of Choice", Submitted to Arch. for Math. Logic. (1998)
45. 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)
46. K. Keremedis (with E. Tachtsis): "Choice Principles for Special Subsets of the Real Line", [pdf], Submitted to Math. Logic Quart., (November 2002)
47. K. Keremedis (with Omar De la Cruz, Eric Hall, Paul Howard, and Jean E. Rubin): "Unions and the axiom of choice", in preparation
48. 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
49. K. Keremedis: "Countable products of compact and Lindelof metric spaces in ZF and some related properties", in preparation