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Modern general topology / Jun-Iti Nagata

Auteur principal : Nagata, Jun'ichi, 1925-2007, AuteurType de document : MonographieCollection : North-Holland mathematical library, 33Langue : anglais.Pays : Pays Bas.Mention d'édition: 2nd revised ed.Éditeur : Amsterdam : North-Holland, 1985Description : 1 vol. (X-522 p.) ; 23 cmISBN : 0444876553.ISSN : 0924-6509.Bibliographie : Bibliogr. p. 496-516. Index.Sujet MSC : 54E35, General topology -- Spaces with richer structures, Metric spaces, metrizability
54C65, General topology -- Maps and general types of spaces defined by maps, Selections
54D20, General topology -- Fairly general properties, Noncompact covering properties (paracompact, Lindelöf, etc.)
54D60, General topology -- Fairly general properties, Realcompactness and realcompactification
54E15, General topology -- Spaces with richer structures, Uniform structures and generalizations
En-ligne : sommaire
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Bibliogr. p. 496-516. Index

This classic work has been fundamentally revised to take account of recent developments in general topology. The first three chapters remain unchanged except for numerous minor corrections and additional exercises, but chapters IV-VII and the new chapter VIII cover the rapid changes that have occurred since 1968 when the first edition appeared.The reader will find many new topics in chapters IV-VIII, e.g. theory of Wallmann-Shanin's compactification, realcompact space, various generalizations of paracompactness, generalized metric spaces, Dugundji type extension theory, linearly ordered topological space, theory of cardinal functions, dyadic space, etc., that were, in the author's opinion, mostly special or isolated topics some twenty years ago but now settle down into the mainstream of general topology. (Source : Elsevier)

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