| Title:
|
Preservation and reflection of properties acc and hacc (English) |
| Author:
|
Bonanzinga, M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
147-153 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the paper is to study the preservation and the reflection of acc and hacc spaces under various kinds of mappings. In particular, we show that acc and hacc are not preserved by perfect mappings and that acc is not reflected by closed (nor perfect) mappings while hacc is reflected by perfect mappings. (English) |
| Keyword:
|
acc space |
| Keyword:
|
hacc space |
| Keyword:
|
countably compact space |
| Keyword:
|
ordinal space |
| Keyword:
|
cofinality |
| MSC:
|
54D20 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 0917.54027 |
| idMR:
|
MR1396166 |
| . |
| Date available:
|
2009-01-08T18:22:34Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118818 |
| . |
| Reference:
|
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| Reference:
|
[2] Arhangel'skii A.V., Ponomarev V.I.: Foundations of General Topology in Problems and Exercises (in Russian).Nauka, Moscow, 1974. MR 0239550 |
| Reference:
|
[3] Dugundji J.: Topology.Allyn and Bacon, Inc., Boston London Sydney Toronto. Zbl 0397.54003, MR 0193606 |
| Reference:
|
[4] Engelking R.: General Topology.PWN, Warszawa, 1977. Zbl 0684.54001, MR 0500780 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[7] Scott B.M.: Towards a product theory for orthocompactness.Studies in Topology, eds. M. Stravrakas and K.R.Allen, Academic Press, Inc., New York, 1975, pp. 517-537. MR 0372820 |
| Reference:
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[8] van Douwen E.K., Reed G.M., Roscow A.W., Tree I.J.: Star covering properties.Topology and Appl. 39 (1991), 71-103. MR 1103993 |
| Reference:
|
[9] Vaughan J.E.: Countably compact and sequentially compact spaces.in Handbook of Set-theoretic Topology, K.Kunen, J.E.Vaughan, eds., North-Holland, Amsterdam, 1984, pp. 569-602. Zbl 0562.54031, MR 0776631 |
| Reference:
|
[10] Vaughan J.E.: On the product of a compact space with an absolutely countably compact space.Commenationes Math. Univ. Carolinae, to appear. Zbl 0917.54023, MR 1460834 |
| . |
