## Piecewise linear critical levels and collapsing

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- by C. Kearton and W. B. R. Lickorish PDF
- Trans. Amer. Math. Soc.
**170**(1972), 415-424 Request permission

## 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.## References

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## Additional Information

- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**170**(1972), 415-424 - MSC: Primary 57C35
- DOI: https://doi.org/10.1090/S0002-9947-1972-0310899-2
- MathSciNet review: 0310899