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Direct sums of countable groups and related concepts

✍ Scribed by John M Irwin; Fred Richman


Publisher
Elsevier Science
Year
1965
Tongue
English
Weight
397 KB
Volume
2
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Countable Direct Sums of Banach Spaces
✍ M. Valdivia πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 287 KB

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.

Direct Sums of Self-Small Mixed Groups
✍ S Files; W Wickless πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 128 KB

The class G G of self-small mixed abelian groups of finite rank has recently been the focus of a number of investigations. It is known that, up to quasi-isomorphism, G G is dual to the category of locally free torsion-free abelian groups of finite rank. We utilize the reduced mixed groups in G G as

Countable sums and products of metrizabl
✍ Kyriakos Keremedis; Eleftherios Tachtsis πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 161 KB

## 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 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)