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arXiv · 2111.06167

Formality of spaces with Lusternik-Schnirelmann category 1

Torgeir Aambø
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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.

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Torgeir Aambø. 2021-11-11. Formality of spaces with Lusternik-Schnirelmann category 1. https://arxiv.org/abs/2111.06167

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