Pushforward and smooth vector pseudo-bundles
Pushforward and smooth vector pseudo-bundles
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DOI：
10.2140/pjm.2023.322.195
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发表时间：
2021-02
影响因子：
0.6
通讯作者：
Enxin Wu
中科院分区：
文献类型：
--
作者：
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 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.
