On Manes' countably compact, countably tight, non-compact spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 3, pp. 427-433
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We give a straightforward topological description of a class of spaces that are separable, countably compact, countably tight and Urysohn, but not compact or sequential. We then show that this is the same class of spaces constructed by Manes [Monads in topology, Topology Appl. 157 (2010), 961--989] using a category-theoretical framework.
We give a straightforward topological description of a class of spaces that are separable, countably compact, countably tight and Urysohn, but not compact or sequential. We then show that this is the same class of spaces constructed by Manes [Monads in topology, Topology Appl. 157 (2010), 961--989] using a category-theoretical framework.
Classification :
54A10, 54D30
Keywords: countably compact; countably tight; $p$-compact; $p$-sequential
Keywords: countably compact; countably tight; $p$-compact; $p$-sequential
@article{CMUC_2011_52_3_a8,
author = {Dabbs, James},
title = {On {Manes'} countably compact, countably tight, non-compact spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {427--433},
year = {2011},
volume = {52},
number = {3},
mrnumber = {2843234},
zbl = {1249.54057},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2011_52_3_a8/}
}
Dabbs, James. On Manes' countably compact, countably tight, non-compact spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 3, pp. 427-433. http://geodesic.mathdoc.fr/item/CMUC_2011_52_3_a8/