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)].
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},
publisher = {mathdoc},
volume = {40},
number = {2},
year = {1999},
mrnumber = {1732658},
zbl = {0976.54021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999__40_2_a18/}
}
TY - JOUR AU - Song, Yan-Kui TI - Absolute countable compactness of products and topological groups JO - Commentationes Mathematicae Universitatis Carolinae PY - 1999 SP - 367 EP - 372 VL - 40 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1999__40_2_a18/ LA - en ID - CMUC_1999__40_2_a18 ER -
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/