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Chain Conditions in Topology by W. W. Comfort at Abbey's Bookshop,
Chain Conditions in Topology
— —
W. W. Comfort S. Negrepontis

Chain Conditions in Topology

W. W. Comfort,  S. Negrepontis

$59.95

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English
Cambridge University Press
27 November 2008
Analytic topology
Series: Cambridge Tracts in Mathematics
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.
By:   ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   79
Dimensions:   Height: 216mm,  Width: 140mm,  Spine: 18mm
Weight:   400g
ISBN:   9780521090629
ISBN 10:   0521090628
Series:   Cambridge Tracts in Mathematics
Pages:   316
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
1. Some infinitary combinatorics; 2. Introducing the chain conditions; 3. Chain conditions in products; 4. Classes of calibres, using Σ –products; 5. Calibres of compact spaces; 6. Strictly positive measures; 7. Between property (K) and the countable chain condition; 8. Classes of compact-calibres, using spaces of ultralilters; 9. Pseudo-compactness numbers: examples; 10. Continuous functions on product spaces.

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