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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Embedding of the dunce hat
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by J. Krasinkiewicz and S. Spież PDF
Proc. Amer. Math. Soc. 141 (2013), 2537-2541 Request permission

Abstract:

In this note we show that the famous Borsuk contractible non-collapsible 2-polyhedron, generally known as the dunce hat, does not embed in any product of two curves but quasi-embeds in the “three-page book”.
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Additional Information
  • J. Krasinkiewicz
  • Affiliation: Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956, Warsaw, Poland
  • Email: jokra@impan.pl
  • S. Spież
  • Affiliation: Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956, Warsaw, Poland
  • Email: spiez@impan.pl
  • Received by editor(s): June 27, 2011
  • Received by editor(s) in revised form: October 11, 2011
  • Published electronically: February 28, 2013
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 2537-2541
  • MSC (2010): Primary 54C25; Secondary 54E45, 54F45, 55M10, 57N35
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11551-0
  • MathSciNet review: 3043033