On the Axiom of Choice and the Continuum Hypothesis
β Scribed by Rolf Schock
- Publisher
- John Wiley and Sons
- Year
- 1971
- Tongue
- English
- Weight
- 162 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study statements about countable and wellβordered unions and their relation to each other and to countable and wellβordered forms of the axiom of choice. Using WO as an abbreviation for βwellβorderableβ, here are two typical results: The assertion that every WO family of countable se
## Abstract We study conditions for a topological space to be metrizable, properties of metrizable spaces, and the role the axiom of choice plays in these matters.
We show that for every well ordered cardinal number m the Tychonoff product 2 m is a compact space without the use of any choice but in Cohen's Second Model 2 R is not compact.