Commutativeness of Fundamental Groups of Topological Groups
In this article we prove that fundamental groups based at the unit point of topological groups are commutative [11].
Compact Lie groups with isomorphic homotopy groups.
Complex 2 Plane Bundles over CP(n).
Complex singularities and the framed cobordism class of compact quotients of 3-dimensional Lie groups by discrete subgroups.
Compositions of equi-dimensional fold maps
According to Ando's theorem, the oriented bordism group of fold maps of n-manifolds into n-space is isomorphic to the stable n-stem. Among such fold maps we define two geometric operations corresponding to the composition and to the Toda bracket in the stable stem through Ando's isomorphism. By using these operations we explicitly construct several fold maps with convenient properties, including a fold map which represents the generator of the stable 6-stem.
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
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
Connectedness of Certain Subsets of Locally Convex Spaces.
Constructing manifolds by homotopy equivalences I. An obstruction to constructing PL-manifolds from homology manifolds
We aim at constructing a PL-manifold which is cellularly equivalent to a given homology manifold . The main theorem says that there is a unique obstruction element in , where is the group of 3-dimensional PL-homology spheres modulo those which are the boundary of an acyclic PL-manifold. If the obstruction is zero and is compact, we obtain a PL-manifold which is simple homotopy equivalent to .
Construction d’éléments dans
Correction to the paper "Moduli spaces of covers and the Hurwitz monodromy group".
Corrections to: “The algebraic topology of smooth algebraic varieties”
Counting Elemnts in Homotopy Sets.
Covering maps for locally path-connected spaces
We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all locally path-connected spaces. Regular Peano covering maps over path-connected spaces are shown to be identical with generalized regular covering maps introduced by Fischer and Zastrow....
Coverings of fibrations
Crossed modules in and a Brown-Spencer theorem for -categories
CW-complexes with duality.
Das Bild des Hurewicz-Homomorphismus h: ...s*(BZp) ->K1(BZp).