On the notion of scalar product for finite-dimensional diffeological vector spaces

zbMath1393.58001arXiv1507.03787MaRDI QIDQ4568069

Ekaterina Pervova

Publication date: 15 June 2018

Full work available at URL: https://arxiv.org/abs/1507.03787

zbMATH Keywords

diffeological spacediffeological vector spacediffeologically smooth bilinear form

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differentiable mappings in differential topology (57R35) Differential spaces (58A40) Topos-theoretic approach to differentiable manifolds (58A03)

Related Items (8)

Smooth constructions of homotopy-coherent actions ⋮ A survey on diffeological vector spaces and applications ⋮ Finite-dimensional diffeological vector spaces being and not being coproducts ⋮ Pseudo-bundles of exterior algebras as diffeological Clifford modules ⋮ 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 ⋮ Diffeological vector pseudo-bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Pseudo-bundles of exterior algebras as diffeological Clifford modules
• Homological algebra for diffeological vector spaces

This page was built for publication: On the notion of scalar product for finite-dimensional diffeological vector spaces