Irresolvable and submaximal spaces: Homogeneity versus σ-discreteness and new ZFC examples

Topology and its Applications

Volumn 107, Issue 3, 2000, Pages 259-273

  Alas, O T ^a   Sanchis, M ^b   Tkacenko M G ^c   Tkachuk, V V ^c   Wilson, R G ^c  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b UNIVERSITAT JAUME I   (Spain)

^c DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Homogeneous space; Irresolvable space; Sep Maximal space; Submaximal space

Indexed keywords

EID: 0037803220     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. O.T. Alas, I.V. Protasov, M.G. Tkačenko, V.V. Tkachuk, R.G. Wilson, I.V. Yaschenko, Almost all submaximal groups are paracompact and σ-discrete, Fund. Math. 156 (1998) 241-259.
2. A.V. Arhangel'skii, Classes of topological groups, Uspekhi Mat. Nauk 36 (3) (1981) 128-146 (in Russian).
3. A.V. Arhangel'skiǐ, P.J. Collins, On submaximal spaces, Topology Appl. 64 (3) (1995) 219-241.
4. D. Booth, Ultrafilters on a countable set, Ann. of Math. Logic 2(1) (1970/71) 1-24.
5. W.W. Comfort, S. Garcfa-Ferreira, Resolvability: A selective survey and some new results, Topology Appl. 74 (1996) 149-167.
6. W.W. Comfort, Li Feng, The union of resolvable spaces is resolvable, Math. Japonica 38 (3) (1993) 413-414.
7. L.K. van Douwen, Applications of maximal topologies, Topology Appl. 51 (1993) 125-139.
8. A.G. El'kin, Ultrafilters and indecomposable spaces, Moscow Univ. Math. Bull. 24 (5) (1969) 37-40.