| Description |
1 online resource (149 pages) |
| Series |
Memoirs of the American Mathematical Society ; number 8 |
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Memoirs of the American Mathematical Society ; no. 8.
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| Contents |
TABLE OF CONTENTS -- PREFACE -- CHAPTER I: THE PROBLEM, METHODS OF ATTACK, DIFFICULTIES -- 1. The representation problem for Fréchet varieties -- 2. The representation problem for Fréchet surfaces -- CHAPTER II: TOPOLOGICAL PRELIMINARIES -- 3. Monotoneity and lightness -- 4. Peano spaces -- 5. 2-manifolds -- 6. Mantoids -- 7. The Čech theory -- 8. The locally compact theory -- 9. Cohomology theory of 2-manifolds and canonioal regions -- 10. Key theorems -- CHAPTER III: COMPARABILITY AND CONSISTENCY -- 11. Hyper elements -- 12. Normal and simple regions -- 13. Cohomology on hyper elements |
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14. Compatibility -- CHAPTER IV: THE NECESSITY ARGUMENT -- 15. The case for 2-manifolds with boundary -- 16. The case for closed 2-manifolds -- CHAPTER V: THE SUFFICIENCY ARGUMENT -- 17. The smoothing operation -- 18. The first modification -- 19. The second modification -- 20. The third modification -- 21. The fourth modification -- 22. The final modification and sufficiency theorem -- CHAPTER VI: F-CRITERIA -- 23. Table of results -- 24. Oriented Fréchet equivalence -- 25. Concluding remarks -- BIBLIOGRAPHY -- INDEX OF TERMS -- A -- B -- C -- D -- E -- F -- H -- M -- N -- O -- R -- S |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Surfaces.
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Topology.
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Surfaces
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Topology
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| Form |
Electronic book
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| ISBN |
9781470400286 |
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1470400286 |
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