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The representation problem for Fréchet surfaces /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Youngs, John William Theodore, 1910- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1951.
Colección:Memoirs of the American Mathematical Society ; no. 8.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Youngs, John William Theodore,  |d 1910-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJjmM9tYVjHHqmb8GpXcfq 
245 1 4 |a The representation problem for Fréchet surfaces /  |c by J.W.T. Youngs. 
264 1 |a Providence :  |b American Mathematical Society,  |c 1951. 
300 |a 1 online resource (149 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society ;  |v number 8 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a 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. 
505 8 |a 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. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Surfaces. 
650 0 |a Topology. 
650 6 |a Surfaces (Mathématiques) 
650 6 |a Topologie. 
650 7 |a Surfaces  |2 fast 
650 7 |a Topology  |2 fast 
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776 0 8 |i Print version:  |a Youngs, John William Theodore.  |t Representation problem for Fréchet surfaces.  |d Providence : American Mathematical Society, 1951  |h 143 ; 26 cm  |k Memoirs of the American Mathematical Society ; number 8  |z 9780821812082 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 8. 
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