| Title:
|
A homogeneous space of point-countable but not of countable type (English) |
| Author:
|
Basile, Désirée |
| Author:
|
van Mill, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
459-463 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct an example of a homogeneous space which is of point-countable but not of countable type. This shows that a result of Pasynkov cannot be generalized from topological groups to homogeneous spaces. (English) |
| Keyword:
|
homogeneous |
| Keyword:
|
coset space |
| Keyword:
|
topological group |
| MSC:
|
54D40 |
| MSC:
|
54D99 |
| idZBL:
|
Zbl 1199.54159 |
| idMR:
|
MR2374127 |
| . |
| Date available:
|
2009-05-05T17:04:06Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119672 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Filippov V.V.: The perfect image of a paracompact feathery space Dokl. Akad. Nauk SSSR.176 (1967), 533-535. MR 0222853 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[7] van Mill J.: A homogeneous Eberlein compact space which is not metrizable.Pacific J. Math. 101 (1982), 141-146. Zbl 0495.54020, MR 0671846 |
| Reference:
|
[8] van Mill J.: Homogeneous subsets of the real line.Compositio Math. 45 (1982), 3-13. Zbl 0528.54034, MR 0660152 |
| Reference:
|
[9] Pasynkov B.A.: Almost-metrizable topological groups.Dokl. Akad. Nauk SSSR 161 (1965), 281-284. Zbl 0132.27802, MR 0204565 |
| Reference:
|
[10] Ungar G.S.: On all kinds of homogeneous spaces.Trans. Amer. Math. Soc. 212 (1975), 393-400. Zbl 0318.54037, MR 0385825 |
| . |
