
最 低 价:¥105.36
定 价:¥117.07
作 者:LynnArthurSteen 著 著
出 版 社:Oversea Publishing House
出版时间:1995-9-1
I S B N:9780486687353
| Part I BASIC DEFINITIONS 1. General Introduction Limit Points Closures and Interiors Countability Properties Functions Filters 2. Separation Axioms Regular and Normal Spaces Completely Hausdorff Spaces Completely Regular Spaces Functions, Products, and Subspaces Additional Separation Properties 3. Compactness Global Compactness Properties Localized Compactness Properties Countability Axioms and Separability Paracompactness Compactness Properties and Tl Axioms Invariance Properties 4. Connectedness Functions and Products Disconnectedness Biconnectedness and Continua 5. Metric Spaces Complete Metric Spaces Metrizability Uniformities Metric Uniformities Part II COUNTEREXAMPLES 1. Finite Discrete Topology 2. Countable Discrete Topology 3. Uncountable Discrete Topology 4. Indiscrete Topology 5. Partition Topology 6. Odd-Even Topology 7. Deleted Integer Topology 8. Finite Particular Point Topology 9. Countable Particular Point Topology 10. Uncountable Particular Point Topology 11. Sierpinski Space 12. Closed Extension Topology 13. Finite Excluded Point Topology 14. Countable Excluded Point Topology 15. Uncountable Excluded Point Topology 16. Open Extension Topology 47 17. Either-Or Topology 48 18. Finite Complement Topology on a Countable Space 19. Finite Complement Topology on an Uncountable Space 20. Countable Complement Topology 21. Double Pointed Countable Complement Topology 22. Compact Complement Topology 23. Countable Fort Space 24. Uncountable Fort Space 25. Fortissimo Space 26. Arens-Fort Space 27. Modified Fort Space 28. Euclidean Topology 29. The Cantor Set 30. The Rational Numbers 31. The Irrational Numbers 32. Special Subsets of the Real Line 33. Special Subsets of the Plane 34. One Point Compactification Topology …… Part III METRIZATION THEORY Part IV APPENDICES General Reference Chart Problems Notes Bibligraphy |
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