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Partitions of Unity for Countable Covers

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Publication:4373315
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DOI10.2307/2975235zbMath0904.54014OpenAlexW2047237215MaRDI QIDQ4373315

Albert Fathi

Publication date: 19 January 1999

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975235



Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)


Related Items (13)

On the existence of smooth Lyapunov functions for arbitrary closed sets ⋮ Integration theory on the zero sets of polyfold Fredholm sections ⋮ Smooth complete Lyapunov functions for ODEs ⋮ Urysohn-type theorem under a dynamical constraint: non-compact case ⋮ Ilmanen's Lemma on insertion of \(C^{1,1}\) functions ⋮ Lipschitz extensions and approximations ⋮ Cauchy and uniform temporal functions of globally hyperbolic cone fields ⋮ Functions whose set of critical points is an arc ⋮ On the regularity of Cauchy hypersurfaces and temporal functions in closed cone structures ⋮ Smoothing Lyapunov functions ⋮ Lyapounov functions of closed cone fields: from Conley theory to time functions ⋮ On the Hausdorff dimension of the mather quotient ⋮ A general Fredholm theory. III: Fredholm functors and polyfolds




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