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Intersection cohomology, simplicial blow-up and rational homotopy /

Let X be a pseudomanifold. In this text, the authors use a simplicial blow-up to define a cochain complex whose cohomology with coefficients in a field, is isomorphic to the intersection cohomology of X, introduced by M. Goresky and R. MacPherson. The authors do it simplicially in the setting of a f...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Chataur, David, 1974- (Autor), Saralegi-Aranguren, Martintxo, 1960- (Autor), Tanré, Daniel (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1214.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Chataur, David,  |d 1974-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjCPFJYpwjYfw4x7yQ7BHd 
245 1 0 |a Intersection cohomology, simplicial blow-up and rational homotopy /  |c David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2018] 
264 4 |c ©2018 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v volume 254, number 1214 
588 0 |a Print version record. 
500 |a "July 2018, volume 254, number 1214 (second of 5 numbers)." 
504 |a Includes bibliographical references (pages 103-105) and index. 
505 0 |a Introduction -- Simplicial blow-up -- Rational algebraic models -- Formality and examples -- Appendix A. Topological setting. 
520 |a Let X be a pseudomanifold. In this text, the authors use a simplicial blow-up to define a cochain complex whose cohomology with coefficients in a field, is isomorphic to the intersection cohomology of X, introduced by M. Goresky and R. MacPherson. The authors do it simplicially in the setting of a filtered version of face sets, also called simplicial sets without degeneracies, in the sense of C.P. Rourke and B.J. Sanderson. They define perverse local systems over filtered face sets and intersection cohomology with coefficients in a perverse local system. In particular, as announced above whe. 
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650 0 |a Intersection homology theory. 
650 0 |a Homotopy theory. 
650 0 |a Topological spaces. 
650 6 |a Homologie d'intersection. 
650 6 |a Homotopie. 
650 6 |a Espaces topologiques. 
650 7 |a Homotopía  |2 embne 
650 0 7 |a Homología, Teoría de  |2 embucm 
650 7 |a Homotopy theory  |2 fast 
650 7 |a Intersection homology theory  |2 fast 
650 7 |a Topological spaces  |2 fast 
700 1 |a Saralegi-Aranguren, Martintxo,  |d 1960-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjHc4yFbRgWq8xJfFWRpCP 
700 1 |a Tanré, Daniel,  |e author. 
710 2 |a American Mathematical Society,  |e publisher. 
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776 0 8 |i Print version:  |a CHATAUR, DAVID.  |t INTERSECTION COHOMOLOGY, SIMPLICIAL BLOW-UP AND RATIONAL HOMOTOPY.  |d [S.l.] : AMER MATHEMATICAL SOCIETY, 2018  |z 9781470428877  |z 1470428873  |w (OCoLC)1031959244 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1214. 
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