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Algebra and Discrete Mathematics, 2018, Volume 26, Issue 1, Pages 124–129 (Mi adm675)  
RESEARCH ARTICLE

Algebraic Morse theory and homological perturbation theory

Emil Sköldberg

School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
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Abstract: We show that the main result of algebraic Morse theory can be obtained as a consequence of the perturbation lemma of Brown and Gugenheim.
Keywords: algebraic Morse theory, homological perturbation theory, Perturbation Lemma.
Received: 23.09.2016
Document Type: Article
MSC: Primary 18G35; Secondary 55U15
Language: English
Citation: Emil Sköldberg, “Algebraic Morse theory and homological perturbation theory”, Algebra Discrete Math., 26:1 (2018), 124–129
Citation in format AMSBIB
\Bibitem{Sko18}
\by Emil~Sk\"oldberg
\paper Algebraic Morse theory and homological perturbation theory
\jour Algebra Discrete Math.
\yr 2018
\vol 26
\issue 1
\pages 124--129
\mathnet{http://mi.mathnet.ru/adm675}
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