Local homotopy products
Localization, Completion and detecting equivariant maps on Skeletons.
Localization in Group Theory and Homotopy Theory.
Localization of -categories.
Localization of epimorphisms and monomorphisms in homotopy theory
Localization of Fibrations with Nilpotent Fibre.
Localization of nilpotent fibre maps.
Localizing groups with action.
When localizing the semidirect product of two groups, the effect on the factors is made explicit. As an application in Topology, we show that the loop space of a based connected CW-complex is a P-local group, up to homotopy, if and only if π1X and the free homotopy groups [Sk-1, ΩX], k ≥ 2, are P-local.
Locally compact spaces C-tame at infinity.
Locally Compact Spaces ℓ-Tame At Infinity
Locally well-behaved paracompacta in shape theory
Lokalisierung von Schnitträumen
Loop space homology of spaces of LS category one and two.
Loop spaces and homotopy operations
We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in . These depend on first algebraically “delooping” the Π-algebras , using the H-space structure on X, and then trying to realize the delooped Π-algebra.
LS category of classifying spaces and 2-cones.
LS-catégorie de CW-complexes à 3 cellules en théorie homototique R-locale.
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.
LS-category of classifying spaces.
LS-category of classifying spaces. II.
Lusternik-Schnirelmann-categorical sections