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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Embedding of the dunce hat


Authors: J. Krasinkiewicz and S. Spież
Journal: Proc. Amer. Math. Soc. 141 (2013), 2537-2541
MSC (2010): Primary 54C25; Secondary 54E45, 54F45, 55M10, 57N35
Published electronically: February 28, 2013
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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

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11551-0
PII: S 0002-9939(2013)11551-0
Keywords: Embeddings, quasi-embeddings, Borsuk’s example
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
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.