Arzelà-Ascoli theorem via the Wallman compactification

DOI10.2989/16073606.2017.1381653zbMath1395.54020arXiv1602.05691OpenAlexW2767562163MaRDI QIDQ4643742

Mateusz Krukowski

Publication date: 28 May 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05691

zbMATH Keywords

Wallman compactificationStone-Čech compactificationArzelà-Ascoli theoremultrafilters

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

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Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions ⋮ A measure of non-compactness on T_3½ spaces based on Arzelà-Ascoli type theorem

Cites Work

• Compactness result and its applications in integral equations
• Non-Hausdorff multifunction generalization of the Kelley-Morse Ascoli theorem
• Arzelà-Ascoli's theorem in uniform spaces
• Ascoli's theorem for spaces of multifunctions
• A Course in Commutative Banach Algebras
• The existence of bounded solutions for differential equations in Hilbert spaces
• Hammerstein equations with an integral over a noncompact domain
• Compactifications and Semi-Normal Spaces
• Wallman spaces and compactifications
• Uniform convergence for multifunctions
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