Isomorphism of the co-universal F-spaces of Kalton and Terry

B. Sołtys

Displaying similar documents to “Isomorphism of the co-universal F-spaces of Kalton and Terry”

The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group

Banakh, Taras, Zarichnyi, Michael (2000)

Serdica Mathematical Journal

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An embedding X ⊂ G of a topological space X into a topological group G is called functorial if every homeomorphism of X extends to a continuous group homomorphism of G. It is shown that the interval [0, 1] admits no functorial embedding into a finite-dimensional or metrizable topological group.

A note on topological m-spaces

G. J. Michaelides (1975)

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A study of remainders of topological groups

A. V. Arhangel'skii (2009)

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Some duality theorems relating properties of topological groups to properties of their remainders are established. It is shown that no Dowker space can be a remainder of a topological group. Perfect normality of a remainder of a topological group is consistently equivalent to hereditary Lindelöfness of this remainder. No L-space can be a remainder of a non-locally compact topological group. Normality is equivalent to collectionwise normality for remainders of topological groups. If a...