General Topology II: Compactness, Homologies of General Spaces - Couverture souple

9783642770326: General Topology II: Compactness, Homologies of General Spaces

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ISBN 10 : 3642770320 ISBN 13 : 9783642770326

Editeur : Springer, 2011

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This volume of the EMS explores the applications of two important subjects in topology to other areas of mathematics. Its readers will be graduate students and researchers in mathematics.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2011
Langue: anglais
ISBN 10: 3642770320
ISBN 13: 9783642770326
Reliure: Broch�
Nombre de pages: 272
�diteur: Arhangel' Skii A. V.
Coordonn�es du fabricant: ProductSafety@springernature.com
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Allemagne

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General Topology II (eng)

Arhangel' skii, A. V.

Edit� par Springer, 2011

ISBN 10 : 3642770320 ISBN 13 : 9783642770326

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General Topology II: Compactness, Homologies of General Spaces (Encyclopaedia of Mathematical Sciences)

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General Topology II : Compactness, Homologies of General Spaces

Arhangel'skii, A.V.

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General Topology II: Compactness, Homologies of General Spaces (Encyclopaedia of Mathematical Sciences)

Arhangel'skii, A. V.

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General Topology II

Arhangel\' skii, A. V.

Edit� par Springer Berlin Heidelberg, 2011

ISBN 10 : 3642770320 ISBN 13 : 9783642770326

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General Topology II

A. V. Arhangel' Skii

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Compactness is related to a number of fundamental concepts of mathemat ics. Particularly important are compact Hausdorff spaces or compacta. Com pactness appeared in mathematics for the first time as one of the main topo logical properties of an interval, a square, a sphere and any closed, bounded subset of a finite dimensional Euclidean space. Once it was realized that pre cisely this property was responsible for a series of fundamental facts related to those sets such as boundedness and uniform continuity of continuous func tions defined on them, compactness was given an abstract definition in the language of general topology reaching far beyond the class of metric spaces. This immensely extended the realm of application of this concept (including in particular, function spaces of quite general nature). The fact, that general topology provided an adequate language for a description of the concept of compactness and secured a natural medium for its harmonious development is a major credit to this area of mathematics. The final formulation of a general definition of compactness and the creation of the foundations of the theory of compact topological spaces are due to P.S. Aleksandrov and Urysohn (see Aleksandrov and Urysohn (1971)).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch. N� de r�f. du vendeur 9783642770326

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General Topology II : Compactness, Homologies of General Spaces

A. V. Arhangel' Skii

Edit� par Springer Berlin Heidelberg, 2011

ISBN 10 : 3642770320 ISBN 13 : 9783642770326

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Compactness is related to a number of fundamental concepts of mathemat ics. Particularly important are compact Hausdorff spaces or compacta. Com pactness appeared in mathematics for the first time as one of the main topo logical properties of an interval, a square, a sphere and any closed, bounded subset of a finite dimensional Euclidean space. Once it was realized that pre cisely this property was responsible for a series of fundamental facts related to those sets such as boundedness and uniform continuity of continuous func tions defined on them, compactness was given an abstract definition in the language of general topology reaching far beyond the class of metric spaces. This immensely extended the realm of application of this concept (including in particular, function spaces of quite general nature). The fact, that general topology provided an adequate language for a description of the concept of compactness and secured a natural medium for its harmonious development is a major credit to this area of mathematics. The final formulation of a general definition of compactness and the creation of the foundations of the theory of compact topological spaces are due to P.S. Aleksandrov and Urysohn (see Aleksandrov and Urysohn (1971)). N� de r�f. du vendeur 9783642770326

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General Topology II

A. V. Arhangel' Skii

Edit� par Springer Berlin Heidelberg Dez 2011, 2011

ISBN 10 : 3642770320 ISBN 13 : 9783642770326

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Compactness is related to a number of fundamental concepts of mathemat ics. Particularly important are compact Hausdorff spaces or compacta. Com pactness appeared in mathematics for the first time as one of the main topo logical properties of an interval, a square, a sphere and any closed, bounded subset of a finite dimensional Euclidean space. Once it was realized that pre cisely this property was responsible for a series of fundamental facts related to those sets such as boundedness and uniform continuity of continuous func tions defined on them, compactness was given an abstract definition in the language of general topology reaching far beyond the class of metric spaces. This immensely extended the realm of application of this concept (including in particular, function spaces of quite general nature). The fact, that general topology provided an adequate language for a description of the concept of compactness and secured a natural medium for its harmonious development is a major credit to this area of mathematics. The final formulation of a general definition of compactness and the creation of the foundations of the theory of compact topological spaces are due to P.S. Aleksandrov and Urysohn (see Aleksandrov and Urysohn (1971)). 272 pp. Englisch. N� de r�f. du vendeur 9783642770326

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