| Title:
|
Characterizing realcompact spaces as limits of approximate polyhedral systems (English) |
| Author:
|
Matijević, Vlasta |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
783-793 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Realcompact spaces can be characterized as limits of approximate inverse systems of Polish polyhedra. (English) |
| Keyword:
|
approximate inverse system |
| Keyword:
|
approximate inverse limit |
| Keyword:
|
approximate resolution $\operatorname{mod}\, \Cal P$ |
| Keyword:
|
realcompact space |
| Keyword:
|
Lindelöf space |
| Keyword:
|
Polish space |
| Keyword:
|
non-measurable cardinal |
| MSC:
|
54B25 |
| MSC:
|
54B35 |
| MSC:
|
54C56 |
| MSC:
|
54D30 |
| MSC:
|
54D60 |
| idZBL:
|
Zbl 0893.54021 |
| idMR:
|
MR1378699 |
| . |
| Date available:
|
2009-01-08T18:21:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118805 |
| . |
| Reference:
|
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| Reference:
|
[2] Engelking R.: General Topology.Monografie Matematyczne 60, Polish Scientific Publishers, Warszawa, 1977. Zbl 0684.54001, MR 0500780 |
| Reference:
|
[3] Fedorchuk V.V., Chigogidze A.Ch.: Absolute Retracts and Infinite Dimensional Manifolds (Russian).Nauka, Moscow, 1992. MR 1202238 |
| Reference:
|
[4] Gillman L., Jerison M.: Rings of Continuous Functions.D. van Nostrand Co., Princeton, 1960. Zbl 0327.46040, MR 0116199 |
| Reference:
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[5] Sze-Tsen Hu: Theory of Retracts.Wayne State University Press, Detroit, 1965. Zbl 0029.32203, MR 0181977 |
| Reference:
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[6] Mardešić S.: Strong shape of the Stone-Čech compactification.Comment. Math. Univ. Carolinae 33:3 (1992), 533-539. MR 1209294 |
| Reference:
|
[7] Mardešić S., Matijević V.: $\Cal P$-like spaces are limits of approximate $\Cal P$-resolution.Topology Appl. 45 (1992), 189-202. MR 1180809 |
| Reference:
|
[8] Mardešić S., Rubin L.R.: Approximate inverse systems of compacta and covering dimension.Pacific J. Math. 138 (1989), 129-144. MR 0992178 |
| Reference:
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[9] Mardešić S., Segal J.: Shape Theory.North-Holland Publ. Co., Amsterdam, 1982. MR 0676973 |
| Reference:
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[10] Mardešić S., Uglešić N.: On irreducible mappings into polyhedra.Topology Appl. 61 (1995), 187-203. MR 1314618 |
| Reference:
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[11] Mardešić S., Watanabe T.: Approximate resolutions of spaces and mappings.Glasnik Mat. 24 (1989), 587-637. MR 1080085 |
| Reference:
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[12] Matijević V.: Spaces having approximate resolutions consisting of finite-dimensional polyhedra.Publ. Math. Debrecen, to appear. MR 1336370 |
| Reference:
|
[13] Mrowka S.: An elementary proof of Katětov's theorem concerning $Q$-spaces.Michigan Math. J. 11 (1964), 61-63. Zbl 0117.16002, MR 0161308 |
| Reference:
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[14] Nagata J.: Modern General Topology.North-Holland Publ. Co., Amsterdam, 1968. Zbl 0598.54001, MR 0264579 |
| Reference:
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[15] Pasynkov B.A.: On the spectral decomposition of topological spaces (Russian).Mat. Sb. 66 (1965), 35-79. MR 0172236 |
| Reference:
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[16] Shirota T.: A class of topological spaces.Osaka Math. J. 4 (1952), 23-40. Zbl 0047.41704, MR 0050872 |
| Reference:
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[17] Spanier E.H.: Algebraic Topology.McGraw-Hill, New York, 1966. Zbl 0810.55001, MR 0210112 |
| Reference:
|
[18] Watanabe T.: Approximate resolutions and covering dimension.Topology Appl. 38 (1991), 147-154. Zbl 0716.54021, MR 1094547 |
| . |
