| Chain Conditions in Topology Contributor(s): Comfort, W. W. (Author), Negrepontis, S. (Author) |
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ISBN: 0511897332 ISBN-13: 9780511897337 Publisher: Cambridge University Press OUR PRICE: $140.25 Product Type: Open Ebook - Other Formats Published: November 2011 |
| 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. |