Elementary topology (Book, 1999) [WorldCat.org]
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Elementary topology

Elementary topology

Author: Dennis Roseman
Publisher: Upper Saddle River, N.J. : Prentice Hall, ©1999.
Edition/Format:   Print book : EnglishView all editions and formats

Offering an introduction to topics of topology, this book is designed both for students who take only one course in topology and for those who are preparing for advanced work. It provides concrete  Read more...

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Additional Physical Format: Online version:
Roseman, Dennis, 1939-
Elementary topology.
Upper Saddle River, N.J. : Prentice Hall, ©1999
Document Type: Book
All Authors / Contributors: Dennis Roseman
ISBN: 0138638799 9780138638795
OCLC Number: 41070887
Description: xix, 448 pages : illustrations ; 24 cm
Contents: Preface I. BASIC TOPICS. 1. Open and Closed Subsets. 2. Building Open and Closed Subsets. 3. Continuity. 4. Homeomorphism. 5. Cantor Sets and Allied Topics. 6. Embeddings. 7. Connectivity . 8. Path Connectedness. 9. Closure and Limit Points. 10. Compactness. 11. Local Connectivity. II. ADVANCED TOPICS 12. Space Filling Curves. 13. Manifolds. 14. Knots and Kottings. 15. Simple Connectivity. 16. Deformation Type. 17. Complexes. 18. Higher Dimensions. 19. The Poincare Conjecture. III. APPENDICES. Appendix A. Sets and Logic. Appendix B. Numbers. Appendix C. Cardinality of Sets. Appendix D. Summary from Calculus. Appendix E. Strategy in Proof. Bibliography. Index of Examples, Remarks, and Propositions. Subject Index.
Responsibility: Dennis Roseman.


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