Remarks on continuum cardinals on Boolean algebras

Mathematical Logic Quarterly 58 (3):159-167 (2012)
  Copy   BIBTEX

Abstract

We give some results concerning various generalized continuum cardinals. The results answer some natural questions which have arisen in preparing a new edition of 5. To make the paper self-contained we define all of the cardinal functions that enter into the theorems here. There are many problems concerning these new functions, and we formulate some of the more important ones

Categories

Keywords

Reprint years

DOI

10.1002/malq.201110064

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,448

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

Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis.Arthur L. Rubin & Jean E. Rubin - 1993 - Mathematical Logic Quarterly 39 (1):7-22.
Independent families of functions and permutations.Nattapon Sonpanow & Pimpen Vejjajiva - 2020 - Mathematical Logic Quarterly 66 (3):311-315.
Remarks on Levy's reflection axiom.Martin Dowd - 1993 - Mathematical Logic Quarterly 39 (1):79-95.
Some Open Questions for Superatomic Boolean Algebras.Juan Carlos Martínez - 2005 - Notre Dame Journal of Formal Logic 46 (3):353-356.
Global singularization and the failure of SCH.Radek Honzik - 2010 - Annals of Pure and Applied Logic 161 (7):895-915.
Questions on cardinal invariants of Boolean algebras.Mario Jardón Santos - 2023 - Archive for Mathematical Logic 62 (7):947-963.
Some structural results concerning supercompact cardinals.Arthur Apter - 2001 - Journal of Symbolic Logic 66 (4):1919-1927.
Continuum Cardinals Generalized to Boolean Algebras.J. Donald Monk - 2001 - Journal of Symbolic Logic 66 (4):1928-1958.
The failure of GCH at a degree of supercompactness.Brent Cody - 2012 - Mathematical Logic Quarterly 58 (1):83-94.
Coding into HOD via normal measures with some applications.Arthur W. Apter & Shoshana Friedman - 2011 - Mathematical Logic Quarterly 57 (4):366-372.

Analytics

Added to PP
2013-12-01

Downloads
45 (#485,968)

6 months
3 (#1,465,011)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

A large list of small cardinal characteristics of Boolean algebras.J. Donald Monk - 2018 - Mathematical Logic Quarterly 64 (4-5):336-348.

Add more citations

References found in this work

On some small cardinals for Boolean algebras.Ralph Mckenzie & J. Donald Monk - 2004 - Journal of Symbolic Logic 69 (3):674-682.
Continuum Cardinals Generalized to Boolean Algebras.J. Donald Monk - 2001 - Journal of Symbolic Logic 66 (4):1928-1958.

Add more references