## Singular Cardinals And The PCF Theory (1995)

by
Thomas Jech

Venue: | Bull. Symbolic Logic |

Citations: | 3 - 0 self |

### BibTeX

@ARTICLE{Jech95singularcardinals,

author = {Thomas Jech},

title = {Singular Cardinals And The PCF Theory},

journal = {Bull. Symbolic Logic},

year = {1995},

volume = {1},

pages = {408--424}

}

### OpenURL

### Abstract

this paper we present a brief history of the singular cardinals problem, the present knowledge, and an introduction into Shelah's pcf theory. In Sections 2, 3 and 4 we introduce the reader to cardinal arithmetic and to the singular cardinals problems. Sections 5, 6, 7 and 8 describe the main results and methods of the last 25 years and explain the role of large cardinals in the singular cardinals problem. In Section 9 we present an outline of the pcf theory.