THE SMOOTH STRUCTURE OF THE SPACE OF PIECEWISE-SMOOTH LOOPS

DOI10.1017/S0017089516000033zbMath1384.58008arXiv0803.0611OpenAlexW2963251387MaRDI QIDQ2976244

Andrew Stacey

Publication date: 28 April 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0611

zbMATH Keywords

diffeomorphism grouploop of bounded variationspace of piecewise-smooth loops

Mathematics Subject Classification ID

Topology of infinite-dimensional manifolds (57N20) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (3)

Thin homotopy and the holonomy approach to gauge theories ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ Adjusted parallel transport for higher gauge theories

Cites Work

• Differentiable functions on Banach spaces with Lipschitz derivatives
• Iterated integrals of differential forms and loop space homology
• Iterated path integrals
• Constructing smooth manifolds of loop spaces
• Extension of C ∞ Functions Defined in a Half Space
• Riemannian geometry.
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