RESEARCH ARTICLE

Algebraic Morse theory and homological perturbation theory

Emil Sköldberg

School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

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.

MSC: Primary 18G35; Secondary 55U15

Received: 23.09.2016

Language: English