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We have decided to discontinue the publication of preprints on our preprint server end of 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
8/2017Discrete Morse-Bott theory for CW complexes
Odette Sylvia Yaptieu DjeungueAbstract
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:
- 12.01.17
- Published:
- 09.02.17
- 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
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