The \(D\)-topology for diffeological spaces

DOI10.2140/pjm.2014.272.87zbMath1311.57031arXiv1302.2935OpenAlexW3106025604MaRDI QIDQ482093

Enxin Wu, Gordon Sinnamon, J. Daniel Christensen

Publication date: 19 December 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2935

zbMATH Keywords

diffeological space\(\Delta\)-generated spaces\(D\)-topologytopologies on function spaces

Mathematics Subject Classification ID

Differential topology (57R99) Generalized manifolds (57P99) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (37)

Unnamed Item ⋮ Model category of diffeological spaces ⋮ Unnamed Item ⋮ WHITNEY APPROXIMATION FOR SMOOTH CW COMPLEX ⋮ Smooth constructions of homotopy-coherent actions ⋮ The diffeology of Milnor's classifying space ⋮ Mayer-Vietoris sequence for generating families in diffeological spaces ⋮ Pushforward and smooth vector pseudo-bundles ⋮ Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ Elastic diffeological spaces ⋮ A remark on stability and the D-topology of mapping spaces ⋮ Smooth maps on convex sets ⋮ A survey on diffeological vector spaces and applications ⋮ Finite-dimensional diffeological vector spaces being and not being coproducts ⋮ Smooth homotopy of diffeological spaces: theory and applications to infinite-dimensional 𝐶^{∞}-manifolds ⋮ Pseudo-bundles of exterior algebras as diffeological Clifford modules ⋮ Comparing cubical and globular directed paths ⋮ Quasitopological vector spaces ⋮ Categorical frameworks for generalized functions ⋮ Tangent spaces of bundles and of filtered diffeological spaces ⋮ The \(\mathbb{R}\)-local homotopy theory of smooth spaces ⋮ Exterior bundles in diffeology ⋮ Simplicial cochain algebras for diffeological spaces ⋮ Unnamed Item ⋮ On the differential geometry of numerical schemes and weak solutions of functional equations ⋮ Suitable spaces for shape optimization ⋮ The group of diffeomorphisms of a non-compact manifold is not regular ⋮ Diffeological gluing of vector pseudo-bundles and pseudo-metrics on them ⋮ Smooth classifying spaces ⋮ Transfinite product reduction in fundamental groupoids ⋮ On the Chern character in higher twisted \(K\)-theory and spherical T-duality ⋮ Diffeological vector spaces ⋮ Homotopy theory of Moore flows (II) ⋮ Diffeological Clifford algebras and pseudo-bundles of Clifford modules ⋮ A novel approach to sheaves on diffeological spaces ⋮ Diffeological vector pseudo-bundles

This page was built for publication: The \(D\)-topology for diffeological spaces