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Quotients of Strongly Realcompact Groups

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Morales L., Tkachenko M.

Topological Algebra and its Applications

2016

tom 4

nr 1

9-17

A topological group is strongly realcompact if it is topologically isomorphic to a closed subgroup of a product of separable metrizable groups. We show that if H is an invariant Čech-complete subgroup of an ω-narrow topological group G, then G is strongly realcompact if and only if G/H is strongly realcompact. Our proof of this result is based on a thorough study of the interaction between the P-modification of topological groups and the operation of taking quotient groups.

Ograniczanie wyników

1 Topological Algebra and its Applications

1 Morales L.

1 Tkachenko M.

1 2016

Wyniki wyszukiwania

Quotients of Strongly Realcompact Groups