Diffeological vector pseudo-bundles

DOI10.1016/j.topol.2016.01.014zbMath1341.58001arXiv1509.03023OpenAlexW2963610299MaRDI QIDQ260574

Ekaterina Pervova

Publication date: 21 March 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03023

zbMATH Keywords

diffeologydiffeological spacediffeological vector pseudo-bundle

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differentiable manifolds, foundations (58A05)

Related Items (11)

Smooth constructions of homotopy-coherent actions ⋮ The diffeology of Milnor's classifying space ⋮ Mayer-Vietoris sequence for generating families in diffeological spaces ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ Elastic diffeological spaces ⋮ A survey on diffeological vector spaces and applications ⋮ Pseudo-bundles of exterior algebras as diffeological Clifford modules ⋮ Exterior bundles in diffeology ⋮ On the differential geometry of numerical schemes and weak solutions of functional equations ⋮ Diffeological gluing of vector pseudo-bundles and pseudo-metrics on them ⋮ Diffeological Clifford algebras and pseudo-bundles of Clifford modules

Cites Work

• The \(D\)-topology for diffeological spaces
• Homological algebra for diffeological vector spaces
• On the notion of scalar product for finite-dimensional diffeological vector spaces
• Comparative Smootheology
• Tangent spaces and tangent bundles for diffeological spaces
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