Computing homology.
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.
Computing the Topological Degree of a Mapping in Rn .
Comultiplications of the Wedge of Two Moore Spaces
Concerning a problem due to Sam B. Nadler, Jr.
Concerning locally homotopy negligible sets and characterization of -manifolds
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
Conditions For A Realization Functor To Commute With Finite Products.
Configuration spaces and Vassiliev classes in any dimension.
Configuration-Spaces and Iterated Loop-Spaces.
Conjugacy classes of finite solvable subgroups in Lie groups
Conjugacy classes of groups of bundle automorphisms.
Conjugaison topologique des germes de fonctions holomorphesà singularité isolée en dimension trois.
Conjugation spaces.
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...
Connected Morava K-Theories.