LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.
Scheerer, Hans ; Tanré, Daniel
Publicacions Matemàtiques, Tome 41 (1997), p. 563-576 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1997-01-01
DMLE-ID : 3837 
@article{urn:eudml:doc:41304,
     title = {LS-cat\'egorie de CW-complexes \`a 3 cellules en th\'eorie homototique R-locale.},
     journal = {Publicacions Matem\`atiques},
     volume = {41},
     year = {1997},
     pages = {563-576},
     mrnumber = {MR1485504},
     zbl = {0896.55001},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41304}
}

Scheerer, Hans; Tanré, Daniel. LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.. Publicacions Matemàtiques, Tome 41 (1997) pp. 563-576. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41304/