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Journal Articles Memoirs of the American Mathematical Society Year : 2018

Intersection Cohomology. Simplicial Blow-up and Rational Homotopy

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Abstract

In this text, we extend Sullivan's presentation of rational homotopy type to Goresky and MacPherson's intersection cohomology. We choose the context of face sets, also called simplicial sets without degeneracies, in the sense of Rourke and Sanderson. We define filtered face sets, perverse local systems over them and intersection cohomology with coe

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hal-00727650 , version 1 (17-04-2014)

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David Chataur, Daniel Tanré, Martintxo Saralegi-Aranguren. Intersection Cohomology. Simplicial Blow-up and Rational Homotopy. Memoirs of the American Mathematical Society, 2018, 254 (1214), viii+108 pp. ⟨hal-00727650⟩
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