Semirigid spaces

Trnková, Věra

doi:10.1090/S0002-9947-1994-1219734-6

Semirigid spaces
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by Věra Trnková

Trans. Amer. Math. Soc. 343 (1994), 305-325

DOI: https://doi.org/10.1090/S0002-9947-1994-1219734-6

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Abstract:

Semirigid spaces are introduced and used as a means to construct two metrizable spaces with isomorphic monoids of continuous self-maps and nonisomorphic clones; this resolves Problem 1 in [13]. The clone of any free variety of a given type with sufficiently many constants is shown to be isomorphic to the clone of a metrizable (semirigid) space.

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Non-constant continuous maps of modifications of topological spaces

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