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  Hochschild cohomology of Sullivan algebras and mapping spaces

Gatsinzi, J.-B. (2019). Hochschild cohomology of Sullivan algebras and mapping spaces. Arab Journal of Mathematical Sciences, 25(1), 123-129. doi:10.1016/j.ajmsc.2018.07.002.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-A110-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-A111-2
Genre: Journal Article

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Gatsinzi_Hochschild cohomology of Sullivan algebras and mapping spaces_2019.pdf (Publisher version), 229KB
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© 2018 The Author. Production and Hosting by Elsevier B.V. on behalf of King Saud University. This is an open accessarticle under the CC BY-NC-ND license (
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Gatsinzi, J.-B.1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: Letf:X→Ybe a map between simply connected spaces having the homotopyof finite type CW-complexes, whereH∗(Y,Q) is finite dimensional andφ:(∧V,d)→(B,d) a Sullivan model off. We consider (B,d) as a module over∧Vvia the mappingφ.Let map(X,Y;f) denote the component offin the space of mappings fromXtoY. In thispaper we show that there is a canonical injectionπ∗(Ωmap(X,Y;f))⊗Q→H H∗(∧V;B).

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 7
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 Rev. Type: Peer
 Identifiers: DOI: 10.1016/j.ajmsc.2018.07.002
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Title: Arab Journal of Mathematical Sciences
  Abbreviation : Arab J. Math. Sci.
Source Genre: Journal
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Publ. Info: Saudi Association for Mathematical Sciences
Pages: - Volume / Issue: 25 (1) Sequence Number: - Start / End Page: 123 - 129 Identifier: -