Formality of spaces with Lusternik-Schnirelmann category 1
Algebraic Topology
2021-11-12 v1
Abstract
It is a well known fact that formal dg-algebras admit no non-trivial Massey products, while the converse fails. We prove that by restricting to dg-algebras whose induced product on cohomology is trivial, we do in fact get this converse. This allows us to prove that spaces of Lusternik-Schnirelmann category 1 are formal spaces.
Keywords
Cite
@article{arxiv.2111.06167,
title = {Formality of spaces with Lusternik-Schnirelmann category 1},
author = {Torgeir Aambø},
journal= {arXiv preprint arXiv:2111.06167},
year = {2021}
}
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8 pages