Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the Borel $ \sigma $-field and the Baire property


Author: John C. Morgan
Journal: Proc. Amer. Math. Soc. 90 (1984), 250-252
MSC: Primary 28A05; Secondary 04A15, 26A21, 54A05, 54E52
MathSciNet review: 727243
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: There is no category base for which the $ \sigma $-field of sets with the Baire property coincides with the $ \sigma $-field of linear Borel sets.


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

  • [1] John C. Morgan II, Baire category from an abstract viewpoint, Fund. Math. 94 (1977), no. 1, 13–23. MR 0433416 (55 #6392)
  • [2] John C. Morgan II, On product bases, Pacific J. Math. 99 (1982), no. 1, 105–126. MR 651489 (83c:54002)
  • [3] -, Measurability and the abstract Baire property (to appear).
  • [4] E. Szpilrajn (Marczewski), Sur une classe de fonctions de M. Sierpiński et la classe correspondante d'ensembles, Fund. Math. 24 (1935), 17-34.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28A05, 04A15, 26A21, 54A05, 54E52

Retrieve articles in all journals with MSC: 28A05, 04A15, 26A21, 54A05, 54E52


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0727243-2
PII: S 0002-9939(1984)0727243-2
Keywords: Borel sets, category base, Baire category, Baire property
Article copyright: © Copyright 1984 American Mathematical Society