Fine topologies as examples of non-Blumberg Baire spaces

Jaroslav Lukeš; Luděk Zajíček

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 4, page 683-688
  • ISSN: 0010-2628

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Lukeš, Jaroslav, and Zajíček, Luděk. "Fine topologies as examples of non-Blumberg Baire spaces." Commentationes Mathematicae Universitatis Carolinae 017.4 (1976): 683-688. <http://eudml.org/doc/16784>.

@article{Lukeš1976,
author = {Lukeš, Jaroslav, Zajíček, Luděk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {683-688},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fine topologies as examples of non-Blumberg Baire spaces},
url = {http://eudml.org/doc/16784},
volume = {017},
year = {1976},
}

TY - JOUR
AU - Lukeš, Jaroslav
AU - Zajíček, Luděk
TI - Fine topologies as examples of non-Blumberg Baire spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 4
SP - 683
EP - 688
LA - eng
UR - http://eudml.org/doc/16784
ER -

References

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  1. H. R. BENNETT T. G. McLAUGHLIN, A selective survey of axiom-sensitive results in general topology, Texas Tech University Math. Series, no 12. MR0401479
  2. H. BLUMBERG, New properties of all real functions, Trans. Amer. Math. Soc. 24 (1922), 115-128. (1922) MR1501216
  3. J. C. BRADFORD C. GOFFMAN, Metric spaces in which Blumberg's theorem holds, Proc. Amer. Math. Soc. 11 (1960), 667-670. (1960) MR0146310
  4. C. CONSTANTINESCU A. CORNEA, Potential theory on harmonic spaces, Springer-Verlag, Berlin, 1972. (1972) MR0419799
  5. C. GOFFMAN D. WATERMAN, Approximately continuous transformations, Proc. Amer. Math. Soc. 12 (1961) 9 116-121. (1961) MR0120327
  6. R. LEVY, A totally ordered Baire space for which Blumberg's theorem fails, Proc. Amer. Math. Soc. 41 (1973), 304. (1973) Zbl0244.54009MR0324630
  7. R. LEVY, Strongly non-Blumberg spaces, General Topology and Appl. 4 (1974), 173-177. (1974) Zbl0283.54006MR0343232
  8. W. A. R. WEISS, A solution to the Blumberg problem, Bull. Amer. Math. Soc. 81 (1975), 957-958. (1975) Zbl0316.54011MR0391003
  9. Jr H. E. WHITE, Topological spaces in which Blumberg's theorem holds, Proc. Amer. Math. Soc. 44 (1974), 454-462. (1974) Zbl0295.54017MR0341379
  10. Jr H. E. WHITE, Some Baire spaces for which Blumberg's theorem does not hold, Proc. Amer. Math. Soc. 51 (1975), 477-482. (1975) Zbl0307.54012MR0410691

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