ENGLISH

Chain conditions in topology

By Νεγρεπόντης , Στυλιανός. ; W W Comfort; S Negrepontis

Book information

Publisher
Cambridge University Press
Year
1982
ISBN
978-0-521-23487-0, 978-0-521-09062-9, 0521234875, 0521090628
Language
english
Format
DJVU
Filesize
2 MB (2288795 bytes)
Series
Cambridge tracts in mathematics, 79
Pages
xiii, 300 pages ; 22 cm\314
Library
kolxo3
DPI
300
Time added
2014-11-04 21:00:00

Description

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 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. Erdös and the Hungarian school, by Erdös 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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