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Canonical stratification of definable Lie groupoids

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Publication:6095068
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DOI10.5427/jsing.2023.26darXiv2205.13306MaRDI QIDQ6095068

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Publication date: 27 November 2023

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.13306


zbMATH Keywords

Lie groupoidssemialgebraic setssubanalytic setsorbit spacesWhitney stratificationisotopy lemma\(\mathfrak{X}\)-category\(\mathrm{o}\)-minimal category


Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20)




Cites Work

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  • A geometric proof of the existence of definable Whitney stratifications
  • Local structures on stratified spaces
  • Nash manifolds
  • Subanalytic sets in the calculus of variation
  • Topological stability of smooth mappings
  • Geometry of subanalytic and semialgebraic sets
  • Orbispaces as differentiable stratified spaces
  • Approximations in globally subanalytic and Denjoy-Carleman classes
  • On Grothendieck’s tame topology
  • Notes on Topological Stability


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