Pushforward and smooth vector pseudo-bundles
Differential Geometry
2022-05-20 v2 Algebraic Topology
Abstract
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 diffeological vector pseudo-bundles to get projective diffeological vector spaces, producing many concrete new examples, together with application to smooth splittings of some projective diffeological vector spaces related to geometry. This brings new objects to diffeology from classical vector bundle theory.
Keywords
Cite
@article{arxiv.2102.07471,
title = {Pushforward and smooth vector pseudo-bundles},
author = {Enxin Wu},
journal= {arXiv preprint arXiv:2102.07471},
year = {2022}
}