We define a diffeology on the Milnor classifying space of a diffeological group G, constructed
in a similar fashion to the topological version using an infinite join. Besides obtaining the …

We recall the notions of Frölicher and diffeological spaces, and we build regular Frölicher
Lie groups and Lie algebras of formal pseudo-differential operators in one independent …

In this article, we examine the geometry of a group of Fourier-integral operators, which is the
central extension of $ Diff (S^ 1) $ with a group of classical pseudo-differential operators of …

We show that a group of diffeomorphisms D on the open unit interval I, equipped with the
topology of uniform convergence on any compact set of the derivatives at any order, is non …

We describe a smooth structure, called Frolicher space, on CW complexes and spaces of
triangulations. This structure enables differential methods for eg minimization of …

We describe the mathematical properties of pairwise comparisons matrices with coefficients
in an arbitrary group. Inspired by the well-known mathematical structures of quantum gravity …

In this study, a pairwise comparison matrix is generalized to the case when coefficients
create Lie group G, non necessarily abelian. A necessary and sufficient criterion for pairwise …

We recall the notions of Fr\" olicher and diffeological spaces and we build regular Fr\" olicher
Lie groups and Lie algebras of formal pseudo-differential operators in one independent …