Additivity properties of topological diagonalizations

, &
Journal of Symbolic Logic 68 (4):1254-1260 (2003)
  Copy   BIBTEX

Abstract

We answer a question of Just, Miller, Scheepers and Szeptycki whether certain diagonalization properties for sequences of open covers are provably closed under taking finite or countable unions

Categories

Keywords

Reprint years

DOI

10.2178/jsl/1067620185

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 103,566

External links

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

Through your library

My notes

Similar books and articles

Tomek Bartoszynski. On the structure of measurable filters on a countable set. Real analysis exchange, vol. 17 no. 2 , pp. 681–701. - Tomek Bartoszynski and Saharon Shelah. Intersection of < 2ℵ0 ultrafilters may have measure zero. Archive for mathematical logic, vol. 31 , pp. 221–226. - Tomek Bartoszynski and Haim Judah. Measure and Category—filters on ω. Set theory of the continuum, edited by H. Judah, W. Just, and H. Woodin, Mathematical Sciences Research Institute publications, vol. 26, Springer-Verlag, New York, Berlin, Heidelberg, etc., 1992, pp. 175–201. - Tomek Bartoszynski, Martin Goldstern, Haim Judah, and Saharon Shelah. All meager filters may be null. Proceedings of the American Mathematical Society, vol. 117 , pp. 515–521. - Tomek Bartoszyński. Remarks on the intersection of filters. Topology and its applications, vol. 84 , pp. 139–143. [REVIEW]Claude Laflamme - 2001 - Bulletin of Symbolic Logic 7 (3):388-389.
The combinatorics of splittability.Boaz Tsaban - 2004 - Annals of Pure and Applied Logic 129 (1-3):107-130.
Combinatorial properties of filters and open covers for sets of real numbers.Claude Laflamme & Marion Scheepers - 1999 - Journal of Symbolic Logic 64 (3):1243-1260.
Selective covering properties of product spaces.Arnold W. Miller, Boaz Tsaban & Lyubomyr Zdomskyy - 2014 - Annals of Pure and Applied Logic 165 (5):1034-1057.
Combinatorial images of sets of reals and semifilter trichotomy.Boaz Tsaban & Lyubomyr Zdomskyy - 2008 - Journal of Symbolic Logic 73 (4):1278-1288.
Menger remainders of topological groups.Angelo Bella, Seçil Tokgöz & Lyubomyr Zdomskyy - 2016 - Archive for Mathematical Logic 55 (5-6):767-784.
[Omnibus Review].Peter Nyikos - 1992 - Journal of Symbolic Logic 57 (2):763-766.
Products of hurewicz spaces in the Laver model.Dušan Repovš & Lyubomyr Zdomskyy - 2017 - Bulletin of Symbolic Logic 23 (3):324-333.

Analytics

Added to PP
2009-01-28

Downloads
89 (#246,606)

6 months
17 (#161,657)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Selective covering properties of product spaces.Arnold W. Miller, Boaz Tsaban & Lyubomyr Zdomskyy - 2014 - Annals of Pure and Applied Logic 165 (5):1034-1057.
The combinatorics of splittability.Boaz Tsaban - 2004 - Annals of Pure and Applied Logic 129 (1-3):107-130.

Add more citations

References found in this work

Near coherence of filters. I. Cofinal equivalence of models of arithmetic.Andreas Blass - 1986 - Notre Dame Journal of Formal Logic 27 (4):579-591.
Near coherence of filters. III. A simplified consistency proof.Andreas Blass & Saharon Shelah - 1989 - Notre Dame Journal of Formal Logic 30 (4):530-538.
The length of some diagonalization games.Marion Scheepers - 1999 - Archive for Mathematical Logic 38 (2):103-122.

Add more references