Let (XJF-1 be a sequence of infinite-dimensional BANACH spaces. We prove that 00 @ X, has a non-locally complete quotient if XI is not quasi-reflexive.
Countable sums and products of metrizable spaces in ZF
β Scribed by Kyriakos Keremedis; Eleftherios Tachtsis
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 161 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
Abstract
We study the role that the axiom of choice plays in Tychonoff's product theorem restricted to countable families of compact, as well as, LindelΓΆf metric spaces, and in disjoint topological unions of countably many such spaces. (Β© 2004 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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