Set theory and metric spaces (Book, 2008) []
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Set theory and metric spaces

Set theory and metric spaces

Author: Irving Kaplansky
Publisher: Providence, R.I. : AMS Chelsea Publ., 2008.
Edition/Format:   Print book : English : 2nd ed., reprView all editions and formats

Based on notes from a course on set theory and metric spaces, this book incorporates numerous exercises from those notes. It includes an Appendix that helps bridge the gap between metric and  Read more...


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Document Type: Book
All Authors / Contributors: Irving Kaplansky
ISBN: 9780821826942 0821826948
OCLC Number: 316231043
Notes: "The text of the second edition differs only slightly from that of the first edition."--Literaturverz. S. 134 - 135.
Description: XII, 140 Seiten : Illustrationen ; 24 cm
Contents: Basic Set Theory: 1.1 Inclusion; 1.2 Operations on sets; 1.3 Partially ordered sets and lattices; 1.4 Functions; 1.5 Relations; Cartesian products Cardinal Numbers: 2.1 Countable sets; 2.2 Cardinal numbers; 2.3 Comparison of cardinal numbers; Zorn's lemma; 2.4 Cardinal addition; 2.5 Cardinal multiplication; 2.6 Cardinal exponentiation Well-Ordering; The Axiom of Choice: 3.1 Well-ordered sets; 3.2 Ordinal numbers; 3.3 The axiom of choice; 3.4 The continuum problem Basic Properties of Metric Spaces: 4.1 Definitions and examples; 4.2 Open sets; 4.3 Convergence; Closed sets; 4.4 Continuity Completeness, Separability, and Compactness: 5.1 Completeness; 5.2 Separability; 5.3 Compactness Additional Topics: 6.1 Product spaces; 6.2 A fixed-point theorem; 6.3 Category Appendixes: 1 Examples of metric spaces; 2 Set theory and algebra; 3 The transition to topological spaces Selected bibliography Index.
Responsibility: Irving Kaplansky.


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This is a book that could profitably be read by many graduate students or by seniors in strong major programs ... has a number of good features. There are many informal comments scattered between the Read more...

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