| Title:
|
Preimages of Baire spaces (English) |
| Author:
|
Doboš, Jozef |
| Author:
|
Piotrowski, Z. |
| Author:
|
Reilly, I. L. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
119 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
373-379 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given. (English) |
| Keyword:
|
functions preserving nowhere dense sets |
| Keyword:
|
Baire space |
| MSC:
|
54C05 |
| MSC:
|
54C10 |
| MSC:
|
54E52 |
| idZBL:
|
Zbl 0815.54010 |
| idMR:
|
MR1316589 |
| DOI:
|
10.21136/MB.1994.126122 |
| . |
| Date available:
|
2009-09-24T21:07:04Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126122 |
| . |
| Reference:
|
[Do] J. Doboš: A note on the invariance of Baire spaces under mappings.Časopis pӗst. matem. 108 (1983), 409-411. MR 0727538 |
| Reference:
|
[Du] J. Dugundji: Topology.Wm. C. Bгown Publisheгs, 1989, pp. 256. |
| Reference:
|
[FZ] B. Fitzpatrick, Jr., Zhou Hao-xuan: Countable dense homogeneity and the Baire property.Topology Appl. 4З (1992), 1-4. MR 1141367 |
| Reference:
|
[FK] W. G. Fleissner, K. Kunen: Barely Baire spaces.Fund. Math. 101 (1979), 229-240. MR 0521125, 10.4064/fm-101-3-229-240 |
| Reference:
|
[Fr] Z. Frolík: Remarks concerning the invariance of Baire spaces under mappings.Czechoslovak Math. Ј. 11 (1961), 381-385. MR 0133098 |
| Reference:
|
[HM] R. C. Haworth, R. A. McCoy: Baire spaces.Dissertationes Math., PWN, Warszawa 141 (1977). Zbl 0344.54001, MR 0431104 |
| Reference:
|
[Ne] T. Neubrunn: A note on mappings of Baire spaces.Math. Slovaca 27 (1977), 173-176. Erratum, ibidem, p. 442. Zbl 0371.54023, MR 0454910 |
| Reference:
|
[No] D. Noll: On the preservation of Baire category under preimages.Proc. Amer. Math. Soc. 107(1989), 847-854. Zbl 0687.54012, MR 0982407, 10.1090/S0002-9939-1989-0982407-2 |
| Reference:
|
[PR] Z. Piotrowski, I. L. Reilly: Preimages of Baire spaces - an example.Q & A in General Topology 11 (1993), 105-107. Zbl 0779.54025, MR 1205956 |
| Reference:
|
[PS] Z. Piotrowski, A. Szymaśki: Some remarks on category in topological spaces.Proc. Amer. Math. Soc. 101 (1987), 156-160. MR 0897088, 10.1090/S0002-9939-1987-0897088-4 |
| Reference:
|
[Wi] T. E. Wilson: Stгictly irreducible maps and strong transitivity.Topology Proceedings 13 (1988), 371-387. MR 1053705 |
| . |
