The γ-borel conjecture

Archive for Mathematical Logic 44 (4):425-434 (2005)
  Copy   BIBTEX

Abstract

Abstract.In this paper we prove that it is consistent that every γ-set is countable while not every strong measure zero set is countable. We also show that it is consistent that every strong γ-set is countable while not every γ-set is countable. On the other hand we show that every strong measure zero set is countable iff every set with the Rothberger property is countable.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,590

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Separablilty of metric measure spaces and choice axioms.Paul Howard - forthcoming - Archive for Mathematical Logic:1-17.
Strong measure zero and infinite games.Fred Galvin, Jan Mycielski & Robert M. Solovay - 2017 - Archive for Mathematical Logic 56 (7-8):725-732.
Hechler’s theorem for the null ideal.Maxim R. Burke & Masaru Kada - 2004 - Archive for Mathematical Logic 43 (5):703-722.
Pointwise definable models of set theory.Joel David Hamkins, David Linetsky & Jonas Reitz - 2013 - Journal of Symbolic Logic 78 (1):139-156.
Countable OD sets of reals belong to the ground model.Vladimir Kanovei & Vassily Lyubetsky - 2018 - Archive for Mathematical Logic 57 (3-4):285-298.
Souslin forcing.Jaime I. Ihoda & Saharon Shelah - 1988 - Journal of Symbolic Logic 53 (4):1188-1207.

Analytics

Added to PP
2013-10-30

Downloads
37 (#118,170)

6 months
9 (#1,260,759)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Adjoining dominating functions.James E. Baumgartner & Peter Dordal - 1985 - Journal of Symbolic Logic 50 (1):94-101.

Add more references