Embedding of the dunce hat

Krasinkiewicz, J.; Spież, S.

doi:10.1090/S0002-9939-2013-11551-0

Embedding of the dunce hat
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by J. Krasinkiewicz and S. Spież

Proc. Amer. Math. Soc. 141 (2013), 2537-2541

DOI: https://doi.org/10.1090/S0002-9939-2013-11551-0

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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