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Products of Compact Spaces and the Axiom of Choice

✍ Scribed by Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Jean E. Rubin


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
156 KB
Volume
48
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Compactness of 2ℝ and the Axiom of C
✍ Kyriakos Keremedis πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 103 KB πŸ‘ 1 views

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.