Umfang:
1 Online-Ressource (xiii, 300 pages)
,
digital, PDF file(s).
ISBN:
9780511897337
Serie:
Cambridge tracts in mathematics 79
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9780521090629
Weitere Ausg.:
ISBN 9780521234870
Weitere Ausg.:
ISBN 9780521234870
Weitere Ausg.:
ISBN 9780521090629
Weitere Ausg.:
Erscheint auch als Comfort, William W. Chain conditions in topology Cambridge [u.a.] : Cambridge Univ. Press, 1982 ISBN 9780521090629
Weitere Ausg.:
ISBN 9780521234870
Weitere Ausg.:
ISBN 0521234875
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Erscheint auch als Druck-Ausgabe ISBN 9780521234870
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Topologischer Raum
;
Topologie
;
Kettenbedingung
DOI:
10.1017/CBO9780511897337
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