Algebraic Morse theory and homological perturbation theory

• Datum: 2018
• 1. Verfasser: Sköldberg, Emil
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: algebraic Morse theory; homological perturbation theory; Perturbation Lemma; 18G35; 55U15
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/300
• Назва журналу: Algebra and Discrete Mathematics

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