Verfügbarkeit: Set theory and metric spaces | Technische Universität München

Set theory and metric spaces:

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Bibliographische Detailangaben
Beteilige Person:	Kaplansky, Irving 1917-2006 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York Chelsea Publ. Co. 1977
Ausgabe:	2. ed.
Schlagwörter:	Ensembles, Théorie des Espaces métriques axiome choix complétude espace métrique théorie ensemble Metric spaces Set theory Reihe Metrischer Raum Mengenlehre
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001268639&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XII, 140 S. graph. Darst.

Internformat

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Datensatz im Suchindex

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adam_text	Contents Preface xi 1 Basic Set Theory 1 1.1 Inclusion 1 1.2 Operations on Sets 4 1.3 Partially Ordered Sets and Lattices 9 1.4 Functions 14 1.5 Relations; Cartesian Products 19 vii viii contents 2 Cardinal Numbers 21 2.1 Countable Sets 21 2.2 Cardinal Numbers 27 2.3 Comparison of Cardinal Numbers; Zorn s Lemma 31 2.4 Cardinal Addition 40 2.5 Cardinal Multiplication 41 2.6 Cardinal Exponentiation 44 3 Well-ordering; The Axiom of Choice 49 3.1 Well-ordered Sets 49 3.2 Ordinal Numbers 55 3.3 The Axiom of Choice 58 3.4 The Continuum Problem 64 4 Basic Properties of Metric Spaces 67 4.1 Definitions and Examples 67 4.2 Open Sets 71 4.3 Convergence; Closed Sets 75 4.4 Continuity 80 CONTENTS ix 5 Completeness, Separability, and Compactness 84 5.1 Completeness 84 5.2 Separability 94 5.3 Compactness 98 6 Additional Topics 106 6.1 Product Spaces 106 6.2 A Fixed-point Theorem 108 6.3 Category 111 Appendixes 115 7. Examples of Metric Spaces 117 2. Set Theory and Algebra 122 3. The Transition to Topological Spaces 127 Selected Bibliography 133 Index 137
any_adam_object	1
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dewey-raw	511/.3
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dewey-sort	3511 13
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
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spellingShingle	Kaplansky, Irving 1917-2006 Set theory and metric spaces Ensembles, Théorie des Espaces métriques Espaces métriques ram axiome choix inriac complétude inriac espace métrique inriac théorie ensemble inriac Metric spaces Set theory Reihe (DE-588)4049197-3 gnd Metrischer Raum (DE-588)4169745-5 gnd Mengenlehre (DE-588)4074715-3 gnd
subject_GND	(DE-588)4049197-3 (DE-588)4169745-5 (DE-588)4074715-3
title	Set theory and metric spaces
title_auth	Set theory and metric spaces
title_exact_search	Set theory and metric spaces
title_full	Set theory and metric spaces Irving Kaplansky
title_fullStr	Set theory and metric spaces Irving Kaplansky
title_full_unstemmed	Set theory and metric spaces Irving Kaplansky
title_short	Set theory and metric spaces
title_sort	set theory and metric spaces
topic	Ensembles, Théorie des Espaces métriques Espaces métriques ram axiome choix inriac complétude inriac espace métrique inriac théorie ensemble inriac Metric spaces Set theory Reihe (DE-588)4049197-3 gnd Metrischer Raum (DE-588)4169745-5 gnd Mengenlehre (DE-588)4074715-3 gnd
topic_facet	Ensembles, Théorie des Espaces métriques axiome choix complétude espace métrique théorie ensemble Metric spaces Set theory Reihe Metrischer Raum Mengenlehre
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001268639&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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