| Title:
|
On the product of a compact space with an hereditarily absolutely countably compact space (English) |
| Author:
|
Bonanzinga, Maddalena |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
557-562 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
compact |
| Keyword:
|
countably compact |
| Keyword:
|
absolutely countably compact |
| Keyword:
|
hereditarily absolutely countably compact |
| Keyword:
|
$\omega $-bounded |
| Keyword:
|
countable tightness |
| Keyword:
|
sequential space |
| MSC:
|
54B10 |
| MSC:
|
54D20 |
| MSC:
|
54D30 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 0937.54013 |
| idMR:
|
MR1485076 |
| . |
| Date available:
|
2009-01-08T18:36:13Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118953 |
| . |
| Reference:
|
[Arh] Arhangel'skii A.V.: On bicompacta hereditarily satisfying the Souslin condition. Tightness and free sequences.Soviet Math. Dokl. 12 (1971), 1253-1257. |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[Mat1] Matveev M.V.: Absolutely countably compact spaces.Topology and Appl. 58 (1994), 81-92. Zbl 0801.54021, MR 1280711 |
| Reference:
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| Reference:
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[Vau1] Vaughan J.E.: Small uncountable cardinals and topology.Open Problems in Topology, J. van Mill, G.M. Reed Eds., North-Holland, Amsterdam (1990), 195-218. MR 1078647 |
| Reference:
|
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| . |
