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Additional Physical Format: | Online version: Roseman, Dennis, 1939- Elementary topology. Upper Saddle River, N.J. : Prentice Hall, ©1999 (OCoLC)680675039 |
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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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