LS-category of CW-complexes with three cells in R-local homotopy theory.

Hans Scheerer; Daniel Tanré

Publicacions Matemàtiques (1997)

  • Volume: 41, Issue: 2, page 563-576
  • ISSN: 0214-1493

Abstract

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We study the Lusternik-Schnirelmann category of some CW-complexes with 3 cells, built on Y = S2n Uk[i2n,i2n] e4n. In particular, we prove that an R-local space, in the sense of D. Anick, of LS-category 3 and of the homotopy type 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.

How to cite

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Scheerer, Hans, and Tanré, Daniel. "LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.." Publicacions Matemàtiques 41.2 (1997): 563-576. <http://eudml.org/doc/41304>.

@article{Scheerer1997,
author = {Scheerer, Hans, Tanré, Daniel},
journal = {Publicacions Matemàtiques},
keywords = {CW-complejos; Categoría algebraica; Homotopía racional; Lyusternik-Shnirel'man category; CW-complex; cup product},
language = {fre},
number = {2},
pages = {563-576},
title = {LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.},
url = {http://eudml.org/doc/41304},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Scheerer, Hans
AU - Tanré, Daniel
TI - LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 2
SP - 563
EP - 576
LA - fre
KW - CW-complejos; Categoría algebraica; Homotopía racional; Lyusternik-Shnirel'man category; CW-complex; cup product
UR - http://eudml.org/doc/41304
ER -

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