LS-catégorie de CW-complexes à 3 cellules en théorie homotopique R-Locale
Scheerer, Hans (Freie Universität Berlin. Mathematisches Institut)
Tanré, Daniel (Université des Sciences et Technologies (Villeneuve d'Ascq, França))

Date:	1997
Abstract:	We study the Lusternik-Schnirelmann categoryof some CW-complexes with 3 cells, built on Y = S2n ∪k[ι2n,ι2n] e4n. In particular, we prove that an R-local space, in the sense of D. Anick, of LS-category3 and of the homotopytype of a CW-complex with 3 R-cells, has a cup-product of length 3 in its algebra of cohomology. This result is no longer true in the framework of mild spaces.
Rights:	Tots els drets reservats.
Language:	Francès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, V. 41 n. 2 (1997) p. 563-576, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37915
DOI: 10.5565/PUBLMAT_41297_19

14 p, 158.9 KB

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