Local systems in diffeology
From MaRDI portal
Publication:6612007
DOI10.1007/s40062-024-00353-6zbMATH Open1547.18017MaRDI QIDQ6612007
Publication date: 27 September 2024
Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)
de Rham complexdifferential graded algebrasimplicial setlocal systemdiffeologyminimal modelstratifoldfibrewise rationalization
Rational homotopy theory (55P62) Simplicial sets and complexes in algebraic topology (55U10) Spectral sequences in algebraic topology (55T99) Stratified sets (58A35) Differential spaces (58A40) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The de Rham homotopy theory and differential graded category
- The \(D\)-topology for diffeological spaces
- De Rham cohomology of diffeological spaces and foliations
- Le tor différentiel d'une fibration non nilpotente
- Infinitesimal computations in topology
- The diffeology of Milnor's classifying space
- A pullback theorem for cofibrations
- Rational homotopy equivalences and singular chains
- Smooth classifying spaces
- An overview of rationalization theories of non-simply connected spaces and non-nilpotent groups
- Simplicial cochain algebras for diffeological spaces
- Mayer-Vietoris sequence for differentiable/diffeological spaces
- Differential forms on manifolds with boundary and corners
- The homotopy theory of diffeological spaces
- Fiberwise localization and the cube theorem
- Homotopical algebra
- Rational homotopy theory
- Homotopy limits, completions and localizations
- Model category of diffeological spaces
- Convenient categories of smooth spaces
- A Note on Paired Fibrations
- Lectures on minimal models
- Orbifolds as diffeologies
- On 𝑃𝐿 de Rham theory and rational homotopy type
- Pull-Backs in Homotopy Theory
- HOMOLOGY AND COHOMOLOGY VIA ENRICHED BIFUNCTORS
- Rational homotopy theory for non-simply connected spaces
- WHITNEY APPROXIMATION FOR SMOOTH CW COMPLEX
- Rational Homotopy Theory II
- On the category of stratifolds
- Differential modules
- Simplicial homotopy theory
- Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds
- On multiplicative spectral sequences for nerves and the free loop spaces
This page was built for publication: Local systems in diffeology