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Chain Conditions in Topology
Contributor(s): Comfort, W. W. (Author), Negrepontis, S. (Author)
ISBN: 0511897332     ISBN-13: 9780511897337
Publisher: Cambridge University Press
OUR PRICE:   $140.25  
Product Type: Open Ebook - Other Formats
Published: November 2011
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Topology - General
Dewey: 514
Series: Cambridge Tracts in Mathematics
 
Descriptions, Reviews, Etc.
Publisher 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. Erd s and the Hungarian school, by Erd s 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.