Remarks on the theory of prime ends /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ursell, H. D. (Autor), Young, L. C. (Laurence Chisholm), 1905-2000 (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1951.
Colección:Memoirs of the American Mathematical Society ; no. 3.
Temas:
Topology.
Topologie.
Topology
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. INTRODUCTION
  • (A) THE STRUCTURE OF A PRIME END
  • 2. Summary
  • 3. Illustration of the theory
  • 4. Carathéodory's theory
  • 5. Separation theorems
  • 6. The two sides of a path
  • 7. Proof of (2.1)
  • 8. Two paths on opposite sides of a third
  • 9. Distinction between right and left side
  • 10. The two halves of a prime end and the proof of (2.4)
  • (B) FURTHER PROPERTIES OF THE WINGS
  • 11. Summary and illustrations
  • 12. Some subsiduary results and definitions
  • 13. Preliminary reduction of (11.1)
  • 14. Reduction of (11.1) to (11.2)
  • 15. A remark on circular cross-cuts.
  • 16. Preliminary reduction of (11.2)
  • 17. Construction of an alternating chain of cross-cuts
  • 18. Completion of the proof of (11.2) and (11.1)
  • 19. Proof of (11.3)
  • (C) LINKS
  • 20. Summary
  • 21. Proof of (20.2)
  • 22. Rational cross-cuts
  • 23. Proof of (20.1)
  • APPENDIX I
  • APPENDIX II.

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