Book:Felix Hausdorff/Set Theory/Fourth Edition
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Felix Hausdorff: Set Theory (4th Edition)
Published $\text {1991}$, Chelsea Publishing Company
- ISBN 0-8284-1119-0 (translated by John R. Aumann)
Translated from:
Subject Matter
Contents
- Editor's Preface
- Preface to the Second English Edition
- From the Preface to the Second Edition
- Preface to Third Edition
- Preliminary Remarks
- I. Sets and the Combining of Sets
- $\S 1$. Sets
- $\S 2$. Functions
- $\S 3$. Sum and Intersection
- $\S 4$. Product and Power
- II. Cardinal Numbers
- $\S 5$. Comparison of Sets
- $\S 6$. Sum, Product and Power
- $\S 7$. The Scale of Cardinal Numbers
- $\S 8$. The Elementary Cardinal Numbers
- III. Order Types
- $\S 9$. Order
- $\S 10$. Sum, Product and Power
- $\S 11$. The Types $\aleph_0$ and $\aleph$
- IV. Ordinal Numbers
- $\S 12$. The Well-Ordering Theorem
- $\S 13$. The Comparability of Ordinal Numbers
- $\S 14$. The Combining of Ordinal Numbers
- $\S 15$. The Alefs
- $\S 16$. The General Concept of Product
- V. Systems of Sets
- $\S 17$. Rings and Fields
- $\S 18$. Borel Systems
- $\S 19$. Suslin Sets
- VI. Point Sets
- $\S 20$. Distance
- $\S 21$. Convergence
- $\S 22$. Interior Points and Border Points
- $\S 23$. The $\alpha$, $\beta$ and $\gamma$ Points
- $\S 24$. Relative and Absolute Concepts
- $\S 25$. Separable Spaces
- $\S 26$. Complete Spaces
- $\S 27$. Sets of the First and Second Categories
- $\S 28$. Spaces of Sets
- $\S 29$. Connectedness
- VII. Point Sets and Ordinal Numbers
- $\S 30$. Hulls and Kernels
- $\S 31$. Further Applications of Ordinal Numbers
- $\S 32$. Borel and Suslin Sets
- $\S 33$. Existence Proofs
- $\S 34$. Criteria for Borel Sets
- VIII. Mappings of Two Spaces
- $\S 35$. Continuous Mappings
- $\S 36$. Interval-Images
- $\S 37$. Images of Suslin Sets
- $\S 38$. Homeomorphism
- $\S 39$. Simple Curves
- $\S 40$. Topological Spaces
- IX. Real Functions
- $\S 41$. Functions and Inverse Image Sets
- $\S 42$. Functions of the First Class
- $\S 43$. Baire Functions
- $\S 44$. Sets of Convergence
- X. Supplement
- $\S 45$. The Baire Condition
- $\S 46$. Half-sclicht Mappings
- Appendixes
- Bibliography
- Further References
- Index
Further Editions
- 1957: Felix Hausdorff: Set Theory (translated by John R. Aumann)
- 1962: Felix Hausdorff: Set Theory (2nd ed.) (translated by John R. Aumann)
- 1978: Felix Hausdorff: Set Theory (3rd ed.) (translated by John R. Aumann)
Source work progress
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