9 citations · 15 across the 26 of their papers we have counts for
5 papers · 1 filter
Diffeologies on Locally Convex Spaces and Smooth Multiplication of Distributions
Alireza Ahmadi, Bijan Davvaz, Jean-Pierre Magnot
We investigate the canonical and -diffeologies on Hausdorff locally convex spaces and their applications to Schwartz distributions. We prove that a Hausdorff locally conv…
Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures
Jean-Pierre Magnot
We study projective and semidirect quotients of the spherical Milnor construction and develop a step-by-step lifting obstruction from their explicit spherical local sections. The r…
On spherical Milnor Classifying Spaces I: differential geometry
Jean-Pierre Magnot
We compare the original product-subset diffeology on the Milnor join of Magnot--Watts with the locally finite final diffeology on a signed spherical model. The canonical squaring m…
On the geometry of profinite diffeological spaces
Anahita Eslami-Rad, Jean-Pierre Magnot, Enrique G. Reyes
We consider the class of profinite diffeological spaces, that is, diffeological spaces which diffeologies are deduced by pull-back of diffeologies on finite-dimensional manifolds t…
On smooth infinite dimensional grassmannians, splittings and non-commutative generalized cross-ratio mappings
Jean-Pierre Magnot
We describe basic diffeological structures related to splittings and Grassmannians for infinite dimensional vector spaces. We analyze and expand the notion of non-commutative cross…