52 citations · 158 across the 14 of their papers we have counts for
7 papers · 1 filter
Pushforward and smooth vector pseudo-bundles
Enxin Wu
In this paper, we study a new operation named pushforward on diffeological vector pseudo-bundles, which is left adjoint to the pullback. We show how to pushforward projective diffe…
Exterior bundles in diffeology
J. Daniel Christensen, Enxin Wu
We explore several notions of -form at a point in a diffeological space, construct bundles of such -forms, and compare sections of these bundles to differential forms. As the…
Smooth classifying spaces
J. Daniel Christensen, Enxin Wu
We develop the theory of smooth principal bundles for a smooth group , using the framework of diffeological spaces. After giving new examples showing why arbitrary principal bun…
Diffeological vector spaces
J. Daniel Christensen, Enxin Wu
We study the relationship between many natural conditions that one can put on a diffeological vector space: being fine or projective, having enough smooth (or smooth linear) functi…
Tangent spaces of bundles and of filtered diffeological spaces
J. Daniel Christensen, Enxin Wu
We show that a diffeological bundle gives rise to an exact sequence of internal tangent spaces. We then introduce two new classes of diffeological spaces, which we call weakly filt…
Tangent spaces and tangent bundles for diffeological spaces
J. Daniel Christensen, Enxin Wu
We study how the notion of tangent space can be extended from smooth manifolds to diffeological spaces, which are generalizations of smooth manifolds that include singular spaces a…
The D-topology for diffeological spaces
J. Daniel Christensen, Gord Sinnamon, Enxin Wu
Diffeological spaces are generalizations of smooth manifolds which include singular spaces and function spaces. For each diffeological space, Iglesias-Zemmour introduced a natural…