A countably compact, separable space which is not absolutely countably compact
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 197-201
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We construct a space having the properties in the title, and with the same technique, a countably compact $T_2$ topological group which is not absolutely countably compact.
We construct a space having the properties in the title, and with the same technique, a countably compact $T_2$ topological group which is not absolutely countably compact.
Classification :
22A05, 54B10, 54D20, 54G20, 54H11
Keywords: countably compact; absolutely countably compact; topological group; Franklin-Rajagopalan space
Keywords: countably compact; absolutely countably compact; topological group; Franklin-Rajagopalan space
@article{CMUC_1995_36_1_a20,
author = {Vaughan, Jerry E.},
title = {A countably compact, separable space which is not absolutely countably compact},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {197--201},
year = {1995},
volume = {36},
number = {1},
mrnumber = {1334426},
zbl = {0833.54012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_1_a20/}
}
TY - JOUR AU - Vaughan, Jerry E. TI - A countably compact, separable space which is not absolutely countably compact JO - Commentationes Mathematicae Universitatis Carolinae PY - 1995 SP - 197 EP - 201 VL - 36 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_1995_36_1_a20/ LA - en ID - CMUC_1995_36_1_a20 ER -
Vaughan, Jerry E. A countably compact, separable space which is not absolutely countably compact. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 197-201. http://geodesic.mathdoc.fr/item/CMUC_1995_36_1_a20/