Absolute countable compactness of products and topological groups
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 367-372
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In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compactness of product spaces and give an example of a separable, countably compact, topological group which is not absolutely countably compact. The example answers questions of Matveev [8, Question 1] and Vaughan [9, Question (1)].
In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compactness of product spaces and give an example of a separable, countably compact, topological group which is not absolutely countably compact. The example answers questions of Matveev [8, Question 1] and Vaughan [9, Question (1)].
Classification :
54B10, 54D20, 54D55, 54H11
Keywords: compact; countably compact; absolutely countably compact; hereditarily absolutely countably compact; topological group
Keywords: compact; countably compact; absolutely countably compact; hereditarily absolutely countably compact; topological group
@article{CMUC_1999_40_2_a18,
author = {Song, Yan-Kui},
title = {Absolute countable compactness of products and topological groups},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {367--372},
year = {1999},
volume = {40},
number = {2},
mrnumber = {1732658},
zbl = {0976.54021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a18/}
}
Song, Yan-Kui. Absolute countable compactness of products and topological groups. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 367-372. http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a18/