Absolute countable compactness of products and topological groups
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 367-372
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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
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/
@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/}
}