Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Functional characterizations of Baire spaces


Author: \soft{L}ubica Holá
Journal: Proc. Amer. Math. Soc. 109 (1990), 1121-1124
MSC: Primary 54C10; Secondary 26A21, 54E52
DOI: https://doi.org/10.1090/S0002-9939-1990-0986650-6
MathSciNet review: 986650
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give functional characterizations of Baire spaces in the class of topological spaces with a $ \sigma $-locally finite almost-base. This answers positively a question asked in [5] for topological spaces with a $ \sigma $-locally finite almost-base.


References [Enhancements On Off] (What's this?)

  • [1] J. C. Bradford and C. Goffman, Metric spaces in which Blumberg's Theorem holds, Proc. Amer. Math. Soc. 11 (1960), 667-670. MR 0146310 (26:3832)
  • [2] T. Byczkowski and R. Pol, On the closed graph and open mapping theorems, Bull. Acad. Polon. Sci. Sér. Sci. Math. 24 (1976), 723-726. MR 0423286 (54:11266)
  • [3] Z. Frolik, Baire spaces and some generalizations of complete metric spaces, Czech. Math. J. 11 (1961), 237-248. MR 0124870 (23:A2180)
  • [4] Ľ. Holà, A remark on almost continuous multifunctions, submitted in Mathematica Slovaca.
  • [5] D. Noll, Baire spaces and graph theorems, Proc. Amer. Math. Soc. 96 (1986), 141-151. MR 813827 (87e:54072)
  • [6] M. Wilhelm, Almost lower semicontinuous multifunctions and the Souslin-graph theorem, Comment. Math. Univ. Carolin. 23 (1982), 147-158. MR 653358 (83f:54016)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54C10, 26A21, 54E52

Retrieve articles in all journals with MSC: 54C10, 26A21, 54E52


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0986650-6
Keywords: Baire spaces, nearly continuous mapping, almost-base
Article copyright: © Copyright 1990 American Mathematical Society

American Mathematical Society