Homotopically rigid Sullivan algebras and Their applications

Abstract

In this paper we construct an infinite family of homotopically rigid spaces. These examples are then used as building blocks to forge highly connected rational spaces with prescribed finite group of self-homotopy equivalences. They are also exploited to provide highly connected inflexible and strongly chiral manifolds.

19 pages (with an Appendix by Pascal Lambrechts and Don Stanley)

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