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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Semirigid spaces
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by Věra Trnková PDF
Trans. Amer. Math. Soc. 343 (1994), 305-325 Request permission

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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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 343 (1994), 305-325
  • MSC: Primary 54B30; Secondary 08A40, 54B10, 54C05
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1219734-6
  • MathSciNet review: 1219734