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Chain conditions in topology

Comfort, W. W. (1933-)

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Chain conditions in topology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Chain conditions in topology/ W.W. Comfort, S. Negrepontis.
作者:	Comfort, W. W.
其他作者:	Negrepontis, S.
出版者:	Cambridge :Cambridge University Press, : 1982.,
面頁冊數:	xiii, 300 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Topology. -
電子資源:	https://doi.org/10.1017/CBO9780511897337
ISBN:	9780511897337

Chain conditions in topology
Comfort, W. W.1933-

Chain conditions in topology[electronic resource] /W.W. Comfort, S. Negrepontis. - Cambridge :Cambridge University Press,1982. - xiii, 300 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;79. - Cambridge tracts in mathematics ;79..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511897337Subjects--Topical Terms:

522026
Topology.

LC Class. No.: QA611 / .C665 1982

Dewey Class. No.: 514.32

Chain conditions in topology
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520 $a 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.
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