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A net and open-filter process of compactification and the Stone--Čech, Wallman compactifications

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Publication:818379
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DOI10.1016/J.TOPOL.2005.03.015zbMath1121.54040OpenAlexW1995824716MaRDI QIDQ818379

Wan-Hong Wu, Hueytzen J. Wu

Publication date: 20 March 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.03.015


zbMATH Keywords

compactificationnetWallman compactificationultrafilterStone-Čech compactificationcompact spaceopen filterHausdorff spaceTychonoff spaceclosed ultrafilter


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60)


Related Items (2)

An arbitrary Hausdorff compactification of a Tychonoff space \(X\) obtained from a \(C_D^*\)-base by a modified Wallman method ⋮ A CHARACTERIZATION OF COMPACTIFICATIONS OF LOCAL COMPACT HAUSDORFF SPACE




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