Chain Conditions In Topology W.W. Comfort

ISBN: 9780521234870

Published: May 31st 1982

Hardcover

313 pages


Description

Chain Conditions In Topology  by  W.W. Comfort

Chain Conditions In Topology by W.W. Comfort
May 31st 1982 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 313 pages | ISBN: 9780521234870 | 5.13 Mb

A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From anMoreA chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space.

(Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, can one always extract an uncountable subfamily with the finite intersection property. This monograph, which is partly fresh research and partly expository (in the sense that the authors co-ordinate and unify disparate results obtained in several different countries over a period of several decades) is devoted to the systematic use of infinitary combinatorial methods in topology to obtain results concerning chain conditions.

The combinatorial tools developed by P. Erdos and the Hungarian school, by Erdos and Rado in the 1960s and by the Soviet mathematician Shanin in the 1940s, are adequate to handle many natural questions concerning chain conditions in product spaces.



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