On the product of a compact space with an hereditarily absolutely countably compact space
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 557-562
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We show that the product of a compact, sequential $T_2$ space with an hereditarily absolutely countably compact $T_3$ space is hereditarily absolutely countably compact, and further that the product of a compact $T_2$ space of countable tightness with an hereditarily absolutely countably compact $\omega$-bounded $T_3$ space is hereditarily absolutely countably compact.
Classification :
54B10, 54D20, 54D30, 54D55
Keywords: compact; countably compact; absolutely countably compact; hereditarily absolutely countably compact; $\omega $-bounded; countable tightness; sequential space
Keywords: compact; countably compact; absolutely countably compact; hereditarily absolutely countably compact; $\omega $-bounded; countable tightness; sequential space
@article{CMUC_1997__38_3_a11,
author = {Bonanzinga, Maddalena},
title = {On the product of a compact space with an hereditarily absolutely countably compact space},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {557--562},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1997},
mrnumber = {1485076},
zbl = {0937.54013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a11/}
}
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Bonanzinga, Maddalena. On the product of a compact space with an hereditarily absolutely countably compact space. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 557-562. http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a11/