Algebraic Morse theory and homological perturbation theory

We show that the main result of algebraic Morse theory can be obtained as a consequence of the perturbation lemma of Brown and Gugenheim.

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Bibliographic Details
Date:2018
Main Author: Sköldberg, Emil
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/300
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Summary:We show that the main result of algebraic Morse theory can be obtained as a consequence of the perturbation lemma of Brown and Gugenheim.