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Compact Metric Spaces and Weak Forms of the Axiom of Choice

✍ Scribed by Kyriakos Keremedis; Eleftherios Tachtsis


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
202 KB
Volume
47
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES


Products of Compact Spaces and the Axiom
✍ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 156 KB
The Compactness of 2ℝ and the Axiom of C
✍ Kyriakos Keremedis πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

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.

Rigid Unary Functions and the Axiom of C
✍ Wolfgang Degen πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 168 KB πŸ‘ 1 views

We shall investigate certain statements concerning the rigidity of unary functions which have connections with (weak) forms of the axiom of choice.