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A remark on embedding topological groups into products

Published online by Cambridge University Press:  17 April 2009

Vladimir Pestov
Affiliation:
Department of MathematicsVictoria University of Wellington WellingtonNew Zealand e-mail: vladimir.pestov@vuw.ac.nz
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Let P be a class of topological groups such that every topological group is isomorphic to a topological subgroup of the direct product (with Tychonoff topology) of a subfamily of P. Then every Tychonoff space is homeomorphic to a subspace of a group from P.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994

References

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