ENGLISH

Combinatorial Set Theory: Partition Relations for Cardinals

By Paul Erdos

Book information

Publisher
Elsevier Science Ltd
Year
1984
ISBN
0444861572, 9780444861573
ISSN
0049-237X
LCC
QA248 .C616 1984
Language
english
Format
PDF
Filesize
14 MB (14257004 bytes)
Series
Studies in Logic and the Foundations of Mathematics 106
Pages
342\342
Topic
Mathematics Logic
Time added
2011-01-06 10:13:16

Description

This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of recent inequalities for cardinal powers that were obtained in the wake of Silver's breakthrough result saying that the continuum hypothesis can not first fail at a singular cardinal of uncountable cofinality.

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