最 低 价：￥105.40
定 价：￥117.07
作 者：Translated and RevisedC.CeciliaKrieger 著 著
出 版 社：Oversea Publishing House
出版时间：2000-1-1
I S B N：9780486411484
| Ⅰ.FRECHET SPACES SECTION 1. Frechet (V)spaces 2. Limit elements and derived sets 3. Topological equivalence of (V)spaces 4. Closed sets 5. The closure of a set 6. Open sets. The interior of a set 7. Sets dense-in-themselves. The nucleus of a set. Scattered sets 8. Sets closed in a given set 9. Separated sets. Connected sets 10. Images and inverse images of sets. Biuniform functions 11. Continuity. Continuous images 12. Conditions for continuity in a set 13. A continuous image of a connected set 14. Homeomorphic sets 15. Topological properties 16. Limit elements of order m. Elements of condensation.m-compact sets 17. Cantor's theorem 18. Topological limits of a sequence of sets Ⅱ. TOPOLOGICAL SPACES 19. Topological spaces 20. Properties of derived sets 21. Properties of families of closed sets 22. Properties of closure 23. Examples of topological spaces 24. Properties of relatively closed sets 25. Homeomorphism in topological spaces 26. The border of a set. Nowhere-dense sets Ⅲ. TOPOLOGICAL SPACES WITH A COUNTABLE BASIS 27. Topological spaces with countable bases 28. Hereditary separability of topological spaces with countable bases 29. The power of an aggregate of open sets 30. The countability of scattered sets 31. The Cantor-Bendixson theorem 32. The Lindel6f and Borel-Lebesgue theorems 33. Transfinite descending sequences of closed sets 34. Bicompact sets Ⅳ. HAUSDORFF TOPOLOGICAL SPACES SATISFYING THE FI AXIOM OF COUNTABILITY 35. Hausdorff topological spaces. The limit of a sequence.Frechet's (L)class 36. Properties of limit elements 37. Properties of functions continuous in a given set 38. The power of the aggregate of functions continuous in a given set. Topological types 39. Continuous images of compact closed sets. Continua 40. The inverse of a function continuous in a compact closed set 41. The power of an aggregate of open (closed) sets Ⅴ. NORMAL TOPOLOGICAL SPACES 42. Condition of normality 43. The powers of a perfect compact set and a closed compact set 44. Urysohn's lemma 45. The power of a connected set Ⅵ. METRIC SPACES 46. Metric spaces 47. Congruence of sets. Equivalence by division 48. Open spheres 49. Continuity of the distance function 50. Separable metric spaces 51. Properties of compact sets 52. The diameter of a set and its properties 53. Properties equivalent to separability 54. Properties equivalent to closedness and compactness 55. The derived set of a compact set 56. Condition for connectedness. ,-chains 57. Hilbert space and its properties 58. Urysohn's theorem. Dimensional types 59. Fr6chet's space E~ and its properties 60. The 0-dimensional Baire space. The Cantor set …… Ⅶ.COMPLETE SPACES APPENDIX NOTES INDEX |
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