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:
Surfaces.
Topology.
Surfaces (Mathématiques)
Topologie.
Surfaces
Topology
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.
  • 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.

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