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MiS Preprint
8/2017

Discrete Morse-Bott theory for CW complexes

Odette Sylvia Yaptieu Djeungue

Abstract

We derive a discrete analogue of Morse-Bott theory on CW complexes and use this discrete Morse-Bott function to do some Conley theory analysis. It turns out that our discrete Morse-Bott theory is indeed a generalization of Forman's discrete Morse theory.

Received:
Jan 12, 2017
Published:
Feb 9, 2017
MSC Codes:
37F20, 37B30, 55N99, 37B30
Keywords:
Morse-Bott theory, Conley theory, discrete Morse theory, CW Complexes, Poincaré polynomial, Betti numbers

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Preprint
2017 Repository Open Access
Odette Sylvia Yaptieu Djeungue

Discrete Morse-Bott theory for CW complexes