Notre Dame Journal of Formal Logic

Notes on Singular Cardinal Combinatorics

James Cummings

Abstract

We present a survey of combinatorial set theory relevant to the study of singular cardinals and their successors. The topics covered include diamonds, squares, club guessing, forcing axioms, and PCF theory.

Article information

Source
Notre Dame J. Formal Logic Volume 46, Number 3 (2005), 251-282.

Dates
First available in Project Euclid: 30 August 2005

Permanent link to this document
https://projecteuclid.org/euclid.ndjfl/1125409326

Digital Object Identifier
doi:10.1305/ndjfl/1125409326

Mathematical Reviews number (MathSciNet)
MR2160657

Zentralblatt MATH identifier
1121.03053

Subjects
Primary: 03E

Keywords
diamond square club guessing forcing axioms PCF

Citation

Cummings, James. Notes on Singular Cardinal Combinatorics. Notre Dame J. Formal Logic 46 (2005), no. 3, 251--282. doi:10.1305/ndjfl/1125409326. https://projecteuclid.org/euclid.ndjfl/1125409326.


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