A Morse deformation lemma at infinity

Julián Haddad

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arXiv · 1610.08560

A Morse deformation lemma at infinity

Julián Haddad

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Abstract

We prove a generalized version of the classic deformation lemma from Morse Theory that considers functions going to $-\infty$ at a compact set, and allowing the lower value of the deformation to be $-\infty$. The result is valid for a class of functions satisfying a suitable growth condition.

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BibTeX RIS

Julián Haddad. 2016-10-26. A Morse deformation lemma at infinity. https://arxiv.org/abs/1610.08560

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