Cover image for Set theory
Title:
Set theory
Personal Author:
Edition:
3rd ed.
Publication Information:
New York : Chelsea Pub., 1978
ISBN:
9780828401197

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30000001188055 QA248 H353 1978 Open Access Book Book
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On Order

Table of Contents

Sets and the Combining of Sets
1.1 Sets
1.2 Functions
1.3 Sum and intersection
1.4 Product and power Cardinal Numbers
2.5 Comparison of sets
2.6 Sum, product, and power
2.7 The scale of cardinal numbers
2.8 The elementary cardinal numbers Order Types
3.9 Order
3.10 Sum and product
3.11 The types $\aleph_0$ and $\aleph$ Ordinal Numbers
4.12 The well-ordering theorem
4.13 The comparability of ordinal numbers
4.14 The combining of ordinal numbers
4.15 The alefs
4.16 The general concept of product Systems of Sets
5.17 Rings and fields
5.18 Borel systems
5.19 Suslin sets Point Sets
6.20 Distance
6.21 Convergence
6.22 Interior points and border points
6.23 The $\alpha, \beta$, and $\gamma$ points
6.24 Relative and absolute concepts
6.25 Separable spaces
6.26 Complete spaces
6.27 Sets of the first and second categories
6.28 Spaces of sets
6.29 Connectedness Point Sets and Ordinal Numbers
7.30 Hulls and kernels
7.31 Further applications of ordinal numbers
7.32 Borel and Suslin sets
7.33 Existence proofs
7.34 Criteria for Borel sets Mappings of Two Spaces
8.35 Continuous mappings
8.36 Interval-images
8.37 Images of Suslin sets
8.38 Homeomorphism
8.39 Simple curves
8.40 Topological spaces Real Functions
9.41 Functions and inverse image sets
9.42 Functions of the first class
9.43 Baire functions
9.44 Sets of convergence Supplement
10.45 The Baire condition
10.46 Half-schlicht mappings Appendixes Bibliography Further
References
Index