Logic Set Theory Applications (13 results)

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Condition: gut. 2000. Bridging between general and algebraic topology courses, this text begins with set theory, moves on to a thorough treatment of topological spaces, then explores connectedness and compactness. Exercises are varied in difficulty from the routine to the challenging. For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences. ISBN: 0131816292 For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences. *Follows the present-day trend of exploring the subject much more extensively with one semester devoted to general topology and a second to algebraic topology. *Exercises - Varied in difficulty from the routine to the challenging. Supplementary exercises at the end of several chapters explore additional topics. *Deepen students' understanding of concepts and theorems just presented rather than simply test comprehension. Content: GENERAL TOPOLOGY. 1. Set Theory and Logic 2. Topological Spaces and Continuous Functions 3. Connectedness and Compactness 4. Countability and Separation Axioms 5. The Tychonoff Theorem 6. Metrization Theorems and Paracompactness 7. Complete Metric Spaces and Function Spaces 8. Baire Spaces and Dimension Theory II. ALGEBRAIC TOPOLOGY. 9. The Fundamental Group 10. Separation Theorems in the Plane 1. The Seifert-van Kampen Theorem 12. Classification of Surfaces. 13. Classification of Covering Spaces. 14. Applications to Group Theory Index. Detailangaben zum Buch - Topology: 2nd edition (Featured Titles for Topology) EAN (ISBN-13): 9780131816299 ISBN (ISBN-10): 0131816292 Erscheinungsjahr: 1999 Herausgeber: Pearson ISBN/EAN: 0131816292 ISBN: 0-13-181629-2 ISB: 978-0-13-181629-9 Autor des Buches: james munkres Titel des Buches: topology, title Topology 2nd edition James Munkres Second Edition In englischer Sprache. 537 pages. 183 x 242 mm.…

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