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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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

Related publications

Preprint
2017 Repository Open Access
Odette Sylvia Yaptieu Djeungue

Discrete Morse-Bott theory for CW complexes