The amenable category is a variant of the Lusternik–Schnirelman category, based on covers
by amenable open subsets. We study the monotonicity problem for degree-one maps and …

The classical archipelago is a non-contractible subset of $\mathbb {R}^ 3$ which is
homeomorphic to a disk except at one non-manifold point. Its fundamental group, $\mathscr …

In this thesis two different generalizations of Davis-Januszkiewicz spaces are presented.
The aim was not to generalize for the sake of abstractness, or because “it was possible” to …

4452 G. Collinet et al. group G if we replace the automorphism group of the free product by
the subgroup of symmetric automorphisms. For this purpose, we use constructions and …

For each of the 26 sporadic finite simple groups, the authors construct a 2-completed
classifying space using a homotopy decomposition in terms of classifying spaces of suitable …

The classifying space BG of a topological group G can be filtered by a sequence of
subspaces B (q, G), q≥ 2, using the descending central series of free groups. If G is finite …

On the A1-fundamental groups of smooth toric varieties Page 1 Advances in Mathematics 223
(2010) 352–378 www.elsevier.com/locate/aim On the A 1 -fundamental groups of smooth toric …

The paper considers non-Abelian homology groups for a diagram of groups introduced as
homotopy groups of a simplicial replacement. It is proved that the non-Abelian homology …

Let K be a finite simplicial complex, and (X, A) be a pair of spaces. The purpose of this article
is to study the fundamental group of the polyhedral product denoted ZK (X, A), which …

In this paper, we study the homotopy type of the partially ordered set of left cosets of abelian
subgroups in an extraspecial p-group. We prove that the universal cover of its nerve is …