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Proceedings of the Luminy conference on algebraic K -theory (Luminy, 1983). Mapping Class Groups and Moduli Spaces of Curves, in Alge- braic Geometry, Santa Cruz, 1995: Proc.
Here we study some basic constructs of homotopy, like homotopy pushouts and pullbacks, mapping cones and homotopy fibres, suspensions and loops, cofibre and fibre
This theorem is applied to obtain pseudo-exponentiable objects of the homotopy slices Top //B of the category of topological spaces and the pseudo-slices Cat // B of the category
By Theorem 2.4, for the class of strongly fibred spaces, shape and strong shape equivalences coincide, so that, in such a case homotopy orthogonality implies enriched
This is achieved through a characteri- zation of these operators in terms of the mapping properties between the Sobolev spaces H P s ( R n ) of their iterated commutators
Our approach relies on the variable exponent theory of Lebesgue and Sobolev spaces combined with adequate variational methods and the Mountain Pass Theorem.. Keywords and
In Section 2, including the variable exponent Lebesgue, Sobolev spaces, generalized gradient of locally Lipschitz function and non-smooth three-critical-points theorem.. In section
In [3], we showed how to go from a simplicial algebra to a 2-crossed module of algebras and back to a truncated form of the simplicial algebra, and the link between simplicial
