We compute the Lusternik-Schnirelmann category (LS-cat) and the higher topological
complexity ($ TC_s $, $ s\geq2 $) of the" no-$ k $-equal" configuration space Conf $ _k …

We study a connection between mapping spaces of bimodules and of infinitesimal
bimodules over an operad. As main application and motivation of our work, we produce an …

For X a connected finite simplicial complex we consider Δ d (X, n), the space of
configurations of n ordered points of X such that no d+ 1 of them are equal, and B d (X, n) …

To any topological operad O, we introduce a cofibrant replacement in the category of
bimodules over itself such that for every map η: O → O'η: O→ O′ of operads, the …

We describe the construction of a minimal presentation for the group of planar pure braids
$\overline {P} _n $ on $ n $ strands. The generators of this presentation are dual to the …

We study the fundamental group of the configuration space of $ n $ ordered points on the
circle no three of which are equal. We compute it for $ n< 6$ and describe its homology for …

In the present work, we extract pairs of topological spaces from maps between coloured
operads. We prove that those pairs are weakly equivalent to explicit algebras over the one …

We study a connection between mapping spaces of bimodules and of infinitesimal
bimodules over an operad. As main application and motivation of our work, we produce an …

Let $ M^{(k)} _ {d}(n) $ be the manifold of $ n $-tuples $(x_1,\ldots, x_n)\in (\mathbb {R}^ d)^
n $ having non-$ k $-equal coordinates. We show that, for $ d\geq2 $, $ M^{(3)} _ {d}(n) $ is …

For a graph $ G $, let Conf $(G, n) $ denote the classical configuration space of $ n $
labelled points in $ G $. Abrams introduced a cubical complex, denoted here by DConf $(G …