The homotopy theory of diffeological spaces

zbMath1325.57013arXiv1311.6394MaRDI QIDQ2339304

Enxin Wu, J. Daniel Christensen

Publication date: 31 March 2015

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6394

zbMATH Keywords

homotopy groupweak equivalencefibrantdiffeological spaceco-fibrantsmooth singular simplicial set

Mathematics Subject Classification ID

Differentiable manifolds, foundations (58A05) Generalized manifolds (57P99) Algebraic topology on manifolds and differential topology (57R19)

Related Items (14)

Model category of diffeological spaces ⋮ Smooth constructions of homotopy-coherent actions ⋮ Pushforward and smooth vector pseudo-bundles ⋮ Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ A survey on diffeological vector spaces and applications ⋮ Smooth homotopy of diffeological spaces: theory and applications to infinite-dimensional 𝐶^{∞}-manifolds ⋮ 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 ⋮ Smooth compositions with a nonsmooth inner function ⋮ Smooth classifying spaces ⋮ A comparison between two de Rham complexes in diffeology

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