English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We consider here the category of diffeological vector pseudo-bundles, andstudy a possible extension of classical differential geometric tools on finitedimensional vector bundles, namely, the group of automorphisms, the framebundle, the space of connection 1-forms and the space of covariant derivatives.Substential distinctions are highlighted in this generalized framework, amongwhich the non-isomorphism between connection 1-forms and covariant derivatives.Applications not only include finite dimensional examples with singularities,but also infinite dimensional vector bundles.

On the geometry of diffeological vector pseudo-bundles and infinite dimensional vector bundles: automorphisms, connections and covariant derivatives