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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Piecewise linear critical levels and collapsing


Authors: C. Kearton and W. B. R. Lickorish
Journal: Trans. Amer. Math. Soc. 170 (1972), 415-424
MSC: Primary 57C35
MathSciNet review: 0310899
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Abstract: In this paper the idea of collapsing, and the associated idea of handle cancellation, in a piecewise linear manifold are used to produce a version of Morse theory for piecewise linear embeddings. As an application of this it is shown that, if $ n > 2$, there exist triangulations of the $ n$-ball that are not simplicially collapsible.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0310899-2
PII: S 0002-9947(1972)0310899-2
Article copyright: © Copyright 1972 American Mathematical Society