Some rational computations of the Waldhausen algebraic K theory.
Some relations between shape constructions
Some remarks concerning the fundamental dimension of the cartesian product of two compacta
Some remarks on shape properties of compacta
Some results on homotopy theory of modules
Seguendo le idee presentate nei lavori [1] e [2] si studiano le proprietà dei gruppi di -omotopia per moduli ed omomorfismi di moduli.
Some surgery formulae for maps into
Some Topological Properties of Kähler Manifolds and Homogeneous Spaces.
Spaces associated to quadratic endofunctors of the category of groups.
Square groups are gadgets classifying quadratic endofunctors of the category of groups. Applying such a functor to the Kan simplicial loop group of the 2-dimensional sphere, one obtains a one-connected three-type. We consider the problem of characterization of those three-types X which can be obtained in this way. We solve this problem in some cases, including the case when π2(X) is a finitely generated abelian group. The corresponding stable problem is solved completely.
Spaces of polynomials with roots of bounded multiplicity
We describe an alternative approach to some results of Vassiliev ([Va1]) on spaces of polynomials, by applying the "scanning method" used by Segal ([Se2]) in his investigation of spaces of rational functions. We explain how these two approaches are related by the Smale-Hirsch Principle or the h-Principle of Gromov. We obtain several generalizations, which may be of interest in their own right.
Splitting B (Z/p)n and BTn Via Modular Representation Theory.
Splittings of Spaces CX.
Stability Results for Topological Spaces.
Stable cohomotopy groups of compact spaces
We show that one can reduce the study of global (in particular cohomological) properties of a compact Hausdorff space X to the study of its stable cohomotopy groups . Any cohomology functor on the homotopy category of compact spaces factorizes via the stable shape category ShStab. This is the main reason why the language and technique of stable shape theory can be used to describe and analyze the global structure of compact spaces. For a given Hausdorff compact space X, there exists a metric compact...
Stable derived functors, the Steenrod algebra and homological algebra in the category of functors
We present a very short way of calculating additively the stable (co)homology of Eilenberg-MacLane spaces K(ℤ/p,n). Our method depends only on homological algebra in appropriate categories of functors.
Stable homotopy as a triangulated functor.
Stable Naturality of Dyer-Lashof Structure Maps.
Steenrod squares in the mod 2 cohomology of a finite H-space.
Steenrod's Equivariant Moore Space Problem for Cohomologically Trivial Modules.
Stratified model categories
The fourth axiom of a model category states that given a commutative square of maps, say i: A → B, g: B → Y, f: A → X, and p: X → Y such that gi = pf, if i is a cofibration, p a fibration and either i or p is a weak equivalence, then a lifting (i.e. a map h: B → X such that ph = g and hi = f) exists. We show that for many model categories the two conditions that either i or p above is a weak equivalence can be embedded in an infinite number of conditions which imply the existence of a lifting (roughly,...
Strict modules and homotopy modules in stable homotopy.