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Semirigid Spaces

Věra Trnková
Transactions of the American Mathematical Society
Vol. 343, No. 1 (May, 1994), pp. 305-325
DOI: 10.2307/2154534
Stable URL: http://www.jstor.org/stable/2154534
Page Count: 21
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Semirigid Spaces
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Abstract

Semigrid 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 (semigrid) space.

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