Hochschild cohomology of Sullivan algebras and mapping spaces

Let f:X→Y be a map between simply connected spaces having the homotopy of finite type CW-complexes, where H∗(Y,Q)is finite dimensional and ϕ:(∧V,d)→(B,d)a Sullivan model of f. We consider (B,d)as a module over ∧V via the mapping ϕ. Let map(X,Y;f)denote the component of f in the space of mappings fro...

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Bibliographic Details
Main Author: J.-B. Gatsinzi
Format: Article
Language:English
Published: Emerald Publishing 2019-01-01
Series:Arab Journal of Mathematical Sciences
Online Access:http://www.sciencedirect.com/science/article/pii/S131951661830118X