Resolvability properties via independent families

Topology and its Applications

Volumn 154, Issue 1, 2007, Pages 205-214

  Comfort, W W ^a   Hu, Wanjun ^b  

^a WESLEYAN UNIVERSITY   (United States)

^b ALBANY STATE UNIVERSITY   (United States)

Author keywords

resolvable space; Extraresolvable space; Independent family; Maximally resolvable space; Souslin number

Indexed keywords

EID: 33750499123     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2006.02.005     Document Type: Article

References (29)

1. K.P.S. Bhaskara Rao, On א-resolvability, Manuscript privately circulated, August, 1994
2. Ceder J.G. On maximally resolvable spaces. Fund. Math. 55 (1964) 87-93
3. Ceder J., and Pearson T. On products of maximally resolvable spaces. Pacific J. Math. 22 (1967) 31-45
4. Comfort W.W., and García-Ferreira S. Strongly extraresolvable groups and spaces. Topology Proc. 23 (1998) 45-74
5. Comfort W.W., and García-Ferreira S. Dense subsets of maximally almost periodic groups. Proc. Amer. Math. Soc. 129 (2001) 593-599
6. Comfort W.W., and Hu W. Maximal independent families and a topological consequence. Topology Appl. 127 (2003) 343-354
7. Comfort W.W., and Hu W. The extraresolvability hierarchy. Topology Proc. 28 (2004) 81-98
8. Comfort W.W., and Negrepontis S. The Theory of Ultrafilters. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen vol. 221 (1974), Springer, Berlin
9. Comfort W.W., and Negrepontis S. Chain Conditions in Topology. Cambridge Tracts in Mathematics vol. 79 (1982), Cambridge University Press, Cambridge
10. van Douwen E.K. Applications of maximal topologies. Topology Appl. 51 (1993) 125-139
11. Eckertson F.W. Resolvable, not maximally resolvable spaces. Topology Appl. 79 (1997) 1-11
12. El'kin A.G. Resolvable spaces which are not maximally resolvable. Moscow Univ. Math. Bull. 24 (1969) 116-118 Russian original in:
13. El'kin A.G. Resolvable spaces which are not maximally resolvable. Vestnik Mosk. Gos. Univ., Ser. I, Mat. Mekh. 24 4 (1969) 66-70
14. El'kin A.G. Ultrafilters and undecomposable spaces. Moscow Univ. Math. Bull. 24 (1969) 37-40 Russian original in:
15. El'kin A.G. Ultrafilters and undecomposable spaces. Vestnik Mosk. Gos. Univ., Ser. I, Mat. Mekh. 24 5 (1969) 51-56
16. Engelking R. General Topology (1989), Heldermann, Berlin
17. Feng L., and Masaveu O. Exactly n-resolvable spaces and ω-resolvability. Math. Japan. 50 (1999) 333-339
18. Feng L. Strongly exactly n-resolvable spaces of arbitrarily large dispersion character. Topology Appl. 105 (2000) 31-36
19. Foreman M., and Woodin W.H. The generalized continuum hypothesis can fail everywhere. Ann. of Math. (2) 133 (1991) 1-35
20. García-Ferreira S., and González-Silva R.A. Some remarks on extraresolvable spaces. Topology Appl. 122 (2002) 151-156
21. Hewitt E. A problem of set-theoretic topology. Duke J. Math. 10 (1943) 309-333
22. W. Hu, Independent families and some applications, PhD thesis, Wesleyan University, Middletown, Connecticut, 2002
23. Hu W. Tychonoff expansions by independent families. Proc. Amer. Math. Soc. 131 11 (2003) 3607-3616
24. Illanes A. Finite and ω-resolvability. Proc. Amer. Math. Soc. 124 (1996) 1243-1246
25. Juhász I. Cardinal Functions in Topology-Ten Years Later. Mathematical Centre Tracts vol. 123 (1980), Mathematisch Centrum, Amsterdam
26. Juhász I., Soukup L., and Szentmiklóssy Z. D-forced spaces: A new approach to resolvability. Topology Appl. 153 11 (2006) 1800-1824
27. Malykhin V.I. On resolvable and maximal spaces. Soviet Math. Dokl. 15 (1974) 1452-1457 Russian original in:
28. Malykhin V.I. On resolvable and maximal spaces. Dokl. Akad. Nauk SSSR 218 (1974) 1017-1020
29. V.I. Malykhin, Irresolvability is not descriptively good, Manuscript privately circulated, 1998