Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds

DOI10.1090/memo/1436arXiv2002.03618MaRDI QIDQ6051922

Hiroshi Kihara

Publication date: 23 October 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03618

zbMATH Keywords

model categorydiffeological spacesconvenient calculussmooth homotopy\(C^{\infty}\)-manifolds

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Differential spaces (58A40) Homotopical algebra, Quillen model categories, derivators (18N40) Homotopy theory (55Pxx)

Related Items (3)

Principal \(\infty\)-bundles and smooth string group models ⋮ Smooth homotopy of diffeological spaces: theory and applications to infinite-dimensional 𝐶^{∞}-manifolds ⋮ Homotopy sheaves on generalised spaces

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