INSTYTUT MATEMATYKI
Uniwersytet Śląski
40-007 Katowice, ul. Bankowa 14


tel/fax (032) 2582976
e-mail:im@ux2.math.us.edu.pl



prof. zw. dr hab. Aleksander Błaszczyk– List of publications

 



1. On factorizations of maps through τX, Colloquium Mathematicum 23 (1971), 45-52;   joint with  J. Mioduszewski

2. On locally H-closed spaces and the Fomin H-closed extension, Colloquium Mathematicum 25 (1972), 242-253

3. On irreducible maps and the extremally disconnected spaces, Prace Matematyczne Uniwersytetu Śląskiego 3 (1973), 7-15

4. On maps which are perfect with respect to the Hewitt realcompact extension, Colloquium Mathematicum 27 (1973), 57-61

5. A factorization theorem and its application to extremally disconnected resolution, Colloquium Mathematicum 28 (1973), 33-40

6. Remarks on a generalization of completeness in the sense of Čech, Colloquium Mathematicum 29 (1974), 219-222

7. Extremally disconnected resolution T_0-spaces, Colloquium Mathematicum 32 (1975), 57-68

8. On projectiveness in H-closed spaces, Colloquium Mathematicum 32 (1975), 185-192

9. On a factorization lemma and a construction of absolutes without separation axioms, General Topology and its Relations to Modern Analysis and Algebra IV, Prague 1976, 45-51

10. A classification of H-closed extensions, Colloquium Mathematicum 39 (1978), 29-33;  joint with    U. Lorek

11. On pseudocompact extensions, Commentationes Mathematicae XX.2 (1978), 259-261

12. On mappings of extremally disconnected compact spaces onto Cantor cubes, Colloquia Mathematica Societatis Janos Bolyai 23 (1978), 143-153

13. A short proof of Parovičenko’s  Theorem, 8th Winter School on Abstract Analysis, 1980, 32-34;   joint with   A. Szymański

14. Some non-normal subspaces of the Čech-Stone compactification of a discrete space, 8th Winter School on Abstract Analysis, 1980, 35-38;   joint with  A. Szymański

15. Concerning Parovičenko's Theorem, Bulletin Acad. Polon. Sci. 28 (1980), 311—314;   joint with  A. Szymański

16. Souslin number and inverse limits, Proceedings of the Conference "Topology and Measure III”, Vitte/Hiddensee 1980 Greifswald 1982, Part 1, 21-26

17. A note on rigid spaces and rigid Boolean algebras, Proceedings of the Fifth Prague Topological Symposium 1981, Helderman Verlag, Berlin 1982, 48-52

18. Hausdorff’s gaps versus normality, Bulletin Acad. Polon. Sci. 30 (1982), 371-378;   joint with  A. Szymański

19. Aspekty topologiczne  algebr Boole’a, Silesian University, Katowice 1982, (135 pages), in Polish

20. A construction of a Gleason spaces, Commentationes Mathematicae Uni-versitatis Carolinae 24 (1983), 233-236

21. Irreducible images of βN—N, Supplemento ai Rendiconti del Circolo Math-ematico di Palermo, Serie II, 3 (1984), 47-54

22. On the power of lattices of regular open sets, Bulletin Acad. Polon. Sci. 32, No. 11-12 (1984), 634-642

23. On the number of open sets, Bulletin Acad. Polon. Sci. 33, No. 7-8 (1985), 403-407

24. A note on remainders of compact extensions, Annales Mathematicae Silesianae 2 (14), (1986), 96-97

25. Remarks on powers of lattices, Supplemento ai Rendiconti del Circolo Mathematico di Palermo, Serie II, 11 (1985), 11-13

26. A construction of a rigid Boolean algebra, Bulletin of the Polish Academy of Sciences 35, No. 7-8 (1987), 465-471

27. A note on zero-dimensional preimages of compact spaces, Acta Universitatis Carolinae - Mathematica et Physica 28, No. 2 (1987), 5-7

28. A topological version of a combinatorial theorem of Katetov, Commentationes Mathematicae Universitatis Carolinae 29 No. 4 (1988), 657-663;   joint with  Kim Dok Yong

29. Topological multidimensional van der Waerden theorem, Commentationes Mathematicae Universitatis Carolinae 30 No. 4 (1990), 783-787;   joint with  Sz. Plewik   and S.Turek

30. On minimal dynamical systems on Boolean algebras, Commentationes Mathematicae Universitatis Carolinae 31 No. 1 (1990), 7-11;   joint with  B. Balcar

31.  On Haydon’s Theorem, Atti Accademia Peloritana dei Pericolanti, vol. LXIX (1991), 5-14: joint with  A.Bella

32. Spaces which are hereditarily extremally disconnected,  J.Ramanujan Math. Soc. 8 (1993), 83-86;   joint with  M. Rajagopalan and A. Szymański

33.  On absolute retracts of ω*, Fundamenta Mathematicae 145 (1994), 1- 13;   joint with  A.Bella and A.Szymański

34.  Some old and some new results on combinatorial properties of fixed-point free maps, Annals of the New York Academy of Sciences 767 (1995), 1-16:  joint with   J. Vermeer

35.  Cohen algebras and nowhere dense ultrafilters, Bulletin of the Polish Academy of Sciences 49 (2001), 15-25;  joint with  A.Szymański

36. Regular subalgebras of complete Boolean algebras, The Journal of Symbolic Logic 66 (2001), 795-800;   joint with S.Shelah 

37. Wstęp do matematyki (z elementami zastosowań w ekonomii), Wyższa Szkoła Biznesu w Dąbrowie Górniczej 2001 (298 pages); in Polish, joint with S.Turek

38. Topologia i teoria mnogości w Katowicach, Pół Wieku Matematyki na Górnym Śląsku, Uniwersytet Śląski 2003, 265-278; in Polish, joint with W. Kulpa

39. Extension of Vladimirov’s lemma, Topology and its Applications 134 (2003), 147-157;   joint with A.Bella and  A.Kucharski

40. Compactness (Local Compactness, Sigma-Compactness etc.), Encyclopedia of General Topology, K.P.Hart, J.Nagata and J.E.Vaughan, editors, Elsevier Science 2004, 169-173

41. Free Boolean algebras and nowhere dense ultrafilters, Annals of Pure and Applied Logic 126 (2004), 287-292

42. Teoria Mnogości, Polish Scientific Publisher  PWN, Warszawa 2007 (450 pages) in Polish, joint with  S.Turek

43. Transversal and  T_1-independent topologies and the Alexandroff duplicate, Topology and its Applications  159, 
     ( 2012) , 75-87;  joint with  M. Tkachenko 

44. Defining topologies on trees, Topology  Proceedings Volume 41 (2013), 65-84

45. Boolean algebras admitting a countable minimally acting group, Cent. Eur. J. Math.; (2014), 12(1), 46-56 DOI: 10.2478/s11533-013-0325-6;   with  A. Kucharski and S. Turek

46. P_λ sets and skeletal mappings, Colloq. Math. 131 (2013), 89-98; with  A. Brzeska 

47. P_λ- filters and regular embedings of Boolean algebras, RIMS Kokyuroku No. 1895 (2014), 12-15

48. Zarys matematyki. Logika, algebra, analiza matematyczna, Wydawnictwo Naukowe WSB, 2014, (384 pages) in Polish, joint with S.Turek

49. Topological representation of lattices and their homomorphisms (Infinitary combinatorics in set theory and its applications), RIMS Kokyuroku No. 1949 (2015), 1-5

50. Matematyka. Od podstaw do elementów matematyki wyższej, Polish Scientific Publisher  PWN, Warszawa 2015, (493 pages) in Polish, joint with S.Turek

51. Topological representation of lattices homomorphisms, Topology and its Applications 196 (2015), part B, 362–378. DOI:10.1016/j.topol.2015.05.010;   joint with W. Bielas

52. Transversal, T_1-independent, and T_1-complementary topologies. Topology and its Applications  230 (2017), 308–337 joint with M. Tkachenko,

53. A Simple Proof of Sierpiński's Theorem. Amer. Math. Monthly 126 (2019), no. 5, 464–466.


Katowice, June 2019.


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