Cargando…
Topological spaces /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1964.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Topological Spaces; Copyright Page; PREFACE; Table of Contents; Introduction; Chapter I. Elementary Principles; I. Fundamental Concepts of Set Theory; 2. Ordered Sets and Lattices; 3. Filters; Chapter II. Topological Spaces; 4. Topology and Limits; 5. Fundamental Concepts and Their Reformulations; 6. The Order Topology and Metric Spaces; 7. The Lattice of Topologies; 8. Axioms of Separation; 9. Subspaces; 10. Cardinality Conditions; Chapter Ill. Compactness and Connectedness; 11. Compactness; 12. Locally Compact Spaces; 13. Paracompact Spaces; 14. Connectedness.
- 15. Local ConnectednessChapter IV. Mappings; 16. Topological Maps, Homeomorphisms; 17. Continuous Mappings; 18. Completely Regular Spaces; 19. Properties of Continuous Mappings; 2o. Transference of Topologies; 21. Quotient Spaces; 22. Product Spaces; 23. Spaces of Mappings; 24. Sums of Spaces; Chapter V. Extensions and Characterization of Topological Spaces; 25. Extensions of Topological Spaces; 26. The Wallman Compactification; 27. The Stone-Cech Compactification; 28. Embeddings; 29. Representation Theorems; Chapter VI. Metric and Uniform Spaces; 30. Metric Spaces; 31. Metrization.
- 32. Extensions and Completions of Metric Spaces33. Uniform Structures; 34. Uniform Continuity and Uniform Convergence; 35. Extension and Completion of Uniform Spaces; Chapter VII. Topological Groups. Applications; 36. Topological Groups; 37. Extensions and Completions of Topological Groups; 38. Topological Rings and Fields; 39. Topological Vector Spaces. The Stone-Weierstrass Approximation Theorem; 40. Inductive and Project!ve Limits; NOTATIONS EMPLOYED; BIBLIOGRAPHY; Subject Index; Topological Spaces.