A semifilter approach to selection principles II: τ*-covers

Commentationes Mathematicae Universitatis Carolinae

Volumn 47, Issue 3, 2006, Pages 539-547

  Zdomskyy, Lyubomyr ^a  

^a IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

Author keywords

Selection principle; Semifilter; Small cardinals

Indexed keywords

EID: 84973604674     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Banakh T., Zdomsky L., Coherence of semifilters; http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/booksite.html
2. Banakh T., Zdomsky L., Selection principles and infinite games on multicovered spaces and their applications, in preparation
3. Bartoszyński T., Shelah S., Tsaban B., Additivity properties of topological diagonalizations, J. Symbolic Logic 68 (2003), 1254-1260; (Full version: http://arxiv.org/abs/math. LO/0112262)
4. Blass A., Combinatorial cardinal characteristics of the continuum, in Handbook of Set Theory (M. Foreman et al., Eds.), to appear
5. Chaber J., Pol R., A remark on Fremlin-Miller theorem concerning the Menger property and Michael concentrated sets, preprint
6. Dordal P., A model in which the base-matrix tree cannot have cofinal branches, J. Symbolic Logic 52 (1987), 651-664
7. Dow A., Set theory in topology, in Recent Progress in General Topology (M. Hušek et al., Eds.), Elsevier Sci. Publ., Amsterdam, 1992, pp. 168-197
8. Miller A., Fremlin D., On some properties of Hurewicz, Menger, and Rothberger, Fund. Math. 129 (1988), 17-33
9. Gerlits J., Nagy Zs., Some properties of C(X), I, Topology Appl. 14 (1982), no. 2, 151-1613
10. Hurewicz W., Über die Verallgemeinerung des Borelschen Theorems, Math. Z. 24 (1925), 401-421
11. Just W., Miller A., Scheepers M., Szeptycki S., The combinatorics of open covers II, Topol-ogy Appl. 73 (1996), 241-266
12. Laflamme C., Equivalence of families of functions on natural numbers, Trans. Amer. Math. Soc. 330 (1992), 307-319
13. Marczewski E. (Szpilrajn), The characteristic function of a sequence of sets and some of its applications, Fund. Math. 31 (1938), 207-233
14. Menger K., Einige Überdeckungssätze der Punktmengenlehre, Sitzungsberichte, Abt. 2a, Mathematic, Astronomie, Physic, Meteorologie und Mechanic (Wiener Akademie) 133 (1924), 421-444
15. Scheepers M., Combinatorics of open covers I: Ramsey Theory, Topology Appl. 69 (1996), 31-62
16. Shelah S., Tsaban B., Critical cardinalities and additivity properties of combinatorial notions of smallness, J. Appl. Anal. 9 (2003), 149-162; http://arxiv.org/abs/math. LO/0304019
17. Solomon R., Families of sets and functions, Czechoslovak Math. J. 27 (1977), 556-559
18. Talagrand M., Filtres: Mesurabilité, rapidité, propriéte de Baire forte, Studia Math. 74 (1982), 283-291
19. Tsaban B., Selection principles and the minimal tower problem, Note Mat. 22 (2003), no. 2, 53-81; http://arxiv.org/abs/math. LO/0105045
20. Tsaban B. (eds.), SPM Bulletin 3 (2003; http://arxiv.org/abs/math. GN/0303057)
21. Tsaban B., Zdomsky L., Scales, fields, and a problem of Hurewicz, submitted to J. Amer. Math. Soc.; http://arxiv.org/abs/math. GN/0507043
22. Vaughan J., Small uncountable cardinals and topology, in Open Problems in Topology (J. van Mill, G.M. Reed, Eds.), Elsevier Sci. Publ., Amsterdam, 1990, pp. 195-218
23. Zdomsky L., A semifilter approach to selection principles, Comment. Math. Univ. Carolin. 46 (2005), 525-539; http://arxiv.org/abs/math. GN/0412498