Locally minimal topological groups and their embeddings into products of $o$-bounded groups
Banakh, Taras O.
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000), p. 811-815 / Harvested from Czech Digital Mathematics Library
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It is proven that an infinite-dimensional Banach space (considered as an Abelian topological group) is not topologically isomorphic to a subgroup of a product of $\sigma $-compact (or more generally, $o$-bounded) topological groups. This answers a question of M. Tkachenko.

Publié le : 2000-01-01
Classification:  22A05,  22E15,  54H11 
@article{119212,
     author = {Taras O. Banakh},
     title = {Locally minimal topological groups and their embeddings into products of $o$-bounded groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {41},
     year = {2000},
     pages = {811-815},
     zbl = {1049.54034},
     mrnumber = {1800163},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119212}
}

Banakh, Taras O. Locally minimal topological groups and their embeddings into products of $o$-bounded groups. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 811-815. http://gdmltest.u-ga.fr/item/119212/

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