| Title:
|
On van Douwen spaces and retracts of $\beta {\mathbb{N}}$ (English) |
| Author:
|
Dow, Alan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
132 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
345-368 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Eric van Douwen produced in 1993 a maximal crowded extremally disconnected regular space and showed that its Stone-Čech compactification is an at most two-to-one image of $\beta {\mathbb{N}}$. We prove that there are non-homeomorphic such images. We also develop some related properties of spaces which are absolute retracts of $\beta {\mathbb{N}}$ expanding on earlier work of Balcar and Błaszczyk (1990) and Simon (1987). (English) |
| Keyword:
|
$\beta \mathbb{N}$ |
| Keyword:
|
retracts |
| Keyword:
|
two to one map |
| Keyword:
|
Stone-Čech compactification |
| MSC:
|
54A25 |
| MSC:
|
54A35 |
| MSC:
|
54C15 |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 1174.54003 |
| idMR:
|
MR2365321 |
| DOI:
|
10.21136/MB.2007.133962 |
| . |
| Date available:
|
2009-09-24T22:32:37Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133962 |
| . |
| Reference:
|
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| Reference:
|
[2] B. Balcar, A. Błaszczyk: On minimal dynamical systems on Boolean algebras.Comment. Math. Univ. Carolin. 31 (1990), 7–11. MR 1056164 |
| Reference:
|
[3] Eric K. van Douwen: Applications of maximal topologies.Topology Appl. 51 (1993), 125–139. MR 1229708, 10.1016/0166-8641(93)90145-4 |
| 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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| 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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| . |
