Pseudocompact whyburn spaces need not be Fréchet

0175382 - MU-W 20030135 RIV US eng J - Journal Article
Pelant, Jan - Tkachenko, M. G. - Tkachuk, V. V. - Wilson, R. G.
Pseudocompact whyburn spaces need not be Fréchet.
Proceedings of the American Mathematical Society. Roč. 131, č. 10 (2003), s. 3257-3265. ISSN 0002-9939. E-ISSN 1088-6826
R&D Projects: GA ČR GA201/00/1466
Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Keywords : Whyburn space * weakly Whyburn space * AP-space
Subject RIV: BA - General Mathematics
Impact factor: 0.389, year: 2003

We prove in ZFC that there exists a Tychonoff pseudocompact scattered AP-spaceof uncountable tightness. We give some sufficient and necessary conditions fora P-space to be AP as well as a characterization of AP-property in linearly ordered topological spaces.
Permanent Link: http://hdl.handle.net/11104/0072365