Preimages of Baire spaces

Jozef Doboš; Zbigniew Piotrowski; Ivan L. Reilly

Mathematica Bohemica (1994)

  • Volume: 119, Issue: 4, page 373-379
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Doboš, Jozef, Piotrowski, Zbigniew, and Reilly, Ivan L.. "Preimages of Baire spaces." Mathematica Bohemica 119.4 (1994): 373-379. <http://eudml.org/doc/29276>.

@article{Doboš1994,
abstract = {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.},
author = {Doboš, Jozef, Piotrowski, Zbigniew, Reilly, Ivan L.},
journal = {Mathematica Bohemica},
keywords = {functions preserving nowhere dense sets; Baire space; functions preserving nowhere dense sets; Baire space},
language = {eng},
number = {4},
pages = {373-379},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Preimages of Baire spaces},
url = {http://eudml.org/doc/29276},
volume = {119},
year = {1994},
}

TY - JOUR
AU - Doboš, Jozef
AU - Piotrowski, Zbigniew
AU - Reilly, Ivan L.
TI - Preimages of Baire spaces
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 4
SP - 373
EP - 379
AB - 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.
LA - eng
KW - functions preserving nowhere dense sets; Baire space; functions preserving nowhere dense sets; Baire space
UR - http://eudml.org/doc/29276
ER -

References

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  1. J. Doboš, A note on the invariance of Baire spaces under mappings, Časopis pӗst. matem. 108 (1983), 409-411. (1983) MR0727538
  2. J. Dugundji, Topology, Wm. C. Bгown Publisheгs, 1989, pp. 256. (1989) 
  3. B. Fitzpatrick, Jr., Zhou Hao-xuan, Countable dense homogeneity and the Baire property, Topology Appl. 4З (1992), 1-4. (1992) MR1141367
  4. W. G. Fleissner, K. Kunen, 10.4064/fm-101-3-229-240, Fund. Math. 101 (1979), 229-240. (1979) MR0521125DOI10.4064/fm-101-3-229-240
  5. Z. Frolík, Remarks concerning the invariance of Baire spaces under mappings, Czechoslovak Math. Ј. 11 (1961), 381-385. (1961) MR0133098
  6. R. C. Haworth, R. A. McCoy, Baire spaces, Dissertationes Math., PWN, Warszawa 141 (1977). (1977) Zbl0344.54001MR0431104
  7. T. Neubrunn, A note on mappings of Baire spaces, Math. Slovaca 27 (1977), 173-176. Erratum, ibidem, p. 442. (1977) Zbl0371.54023MR0454910
  8. D. Noll, 10.1090/S0002-9939-1989-0982407-2, Proc. Amer. Math. Soc. 107(1989), 847-854. (1989) Zbl0687.54012MR0982407DOI10.1090/S0002-9939-1989-0982407-2
  9. Z. Piotrowski, I. L. Reilly, Preimages of Baire spaces - an example, Q & A in General Topology 11 (1993), 105-107. (1993) Zbl0779.54025MR1205956
  10. Z. Piotrowski, A. Szymaśki, 10.1090/S0002-9939-1987-0897088-4, Proc. Amer. Math. Soc. 101 (1987), 156-160. (1987) MR0897088DOI10.1090/S0002-9939-1987-0897088-4
  11. T. E. Wilson, Stгictly irreducible maps and strong transitivity, Topology Proceedings 13 (1988), 371-387. (1988) MR1053705

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