Compactly generated shape theories
Comparaison de deux catégories d'homotopie de morphismes cohérents
Comparing globular complex and flow.
Comparing handle decompositions of homotopy equivalent manifolds
Completed representation ring spectra of nilpotent groups.
Completions of Z-Tate cohomology of periodic spectra.
Complex arrangements and derivations.
Componentwise injective models of functors to DGAs
The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.
Computer search for nilpotent complexes.
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
Computing Reidemeister classes
In order to compute the Nielsen number N(f) of a self-map f: X → X, some Reidemeister classes in the fundamental group need to be distinguished. In this paper some algebraic results are given which allow distinguishing Reidemeister classes and hence computing the Reidemeister number of some maps. Examples of computations are presented.
Computing the abelian heap of unpointed stable homotopy classes of maps
An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper [4] of the author and his collaborators. In the present paper, we describe a simplification of this computation that uses an abelian heap structure on this set that was observed in another paper [5] of the author. A heap is essentially a group without a choice of its neutral element; in addition, we allow it to be empty.
Comultiplications of the Wedge of Two Moore Spaces
Concerning the shape groups of compact metric spaces
Concerning the shapes of n-dimensional spheres
Concerning the Whitehead Theorem for movable compacta
Concordance of compacta
Configuration-Spaces and Iterated Loop-Spaces.
Conjugaison topologique des germes de fonctions holomorphesà singularité isolée en dimension trois.
Connected covers and Neisendorfer's localization theorem
Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann category...