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Item Details
Title: CHAIN CONDITIONS IN TOPOLOGY
By: W. W. Comfort, S. Negrepontis
Format: Paperback

List price: £38.00
Our price: £33.25
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ISBN 10: 0521090628
ISBN 13: 9780521090629
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 1 November, 2008
Series: Cambridge Tracts in Mathematics 79
Pages: 316
Description: A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space.
Synopsis: 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. 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.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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