Geodesic
Preimages of Baire spaces
Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 373-379

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/MB.1994.126122
Classification : 54C05, 54C10, 54E52
Keywords: functions preserving nowhere dense sets; Baire space 
Doboš, Jozef; Piotrowski, Z.; Reilly, I. L. Preimages of Baire spaces. Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 373-379. doi: 10.21136/MB.1994.126122
@article{10_21136_MB_1994_126122,
     author = {Dobo\v{s}, Jozef and Piotrowski, Z. and Reilly, I. L.},
     title = {Preimages of {Baire} spaces},
     journal = {Mathematica Bohemica},
     pages = {373--379},
     year = {1994},
     volume = {119},
     number = {4},
     doi = {10.21136/MB.1994.126122},
     mrnumber = {1316589},
     zbl = {0815.54010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126122/}
}
TY  - JOUR
AU  - Doboš, Jozef
AU  - Piotrowski, Z.
AU  - Reilly, I. L.
TI  - Preimages of Baire spaces
JO  - Mathematica Bohemica
PY  - 1994
SP  - 373
EP  - 379
VL  - 119
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126122/
DO  - 10.21136/MB.1994.126122
LA  - en
ID  - 10_21136_MB_1994_126122
ER  - 
%0 Journal Article
%A Doboš, Jozef
%A Piotrowski, Z.
%A Reilly, I. L.
%T Preimages of Baire spaces
%J Mathematica Bohemica
%D 1994
%P 373-379
%V 119
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126122/
%R 10.21136/MB.1994.126122
%G en
%F 10_21136_MB_1994_126122

[Do] J. Doboš: A note on the invariance of Baire spaces under mappings. Časopis pӗst. matem. 108 (1983), 409-411. | MR

[Du] J. Dugundji: Topology. Wm. C. Bгown Publisheгs, 1989, pp. 256.

[FZ] B. Fitzpatrick, Jr., Zhou Hao-xuan: Countable dense homogeneity and the Baire property. Topology Appl. 4З (1992), 1-4. | MR

[FK] W. G. Fleissner, K. Kunen: Barely Baire spaces. Fund. Math. 101 (1979), 229-240. | DOI | MR

[Fr] Z. Frolík: Remarks concerning the invariance of Baire spaces under mappings. Czechoslovak Math. Ј. 11 (1961), 381-385. | MR

[HM] R. C. Haworth, R. A. McCoy: Baire spaces. Dissertationes Math., PWN, Warszawa 141 (1977). | MR | Zbl

[Ne] T. Neubrunn: A note on mappings of Baire spaces. Math. Slovaca 27 (1977), 173-176. Erratum, ibidem, p. 442. | MR | Zbl

[No] D. Noll: On the preservation of Baire category under preimages. Proc. Amer. Math. Soc. 107(1989), 847-854. | DOI | MR | Zbl

[PR] Z. Piotrowski, I. L. Reilly: Preimages of Baire spaces - an example. Q & A in General Topology 11 (1993), 105-107. | MR | Zbl

[PS] Z. Piotrowski, A. Szymaśki: Some remarks on category in topological spaces. Proc. Amer. Math. Soc. 101 (1987), 156-160. | DOI | MR

[Wi] T. E. Wilson: Stгictly irreducible maps and strong transitivity. Topology Proceedings 13 (1988), 371-387. | MR

Cité par Sources :