On the extension of functions from countable subspaces

DOI10.1134/S0016266322040049OpenAlexW4365795947MaRDI QIDQ2699731

A. Yu. Groznova

Publication date: 19 April 2023

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

Full work available at URL: https://doi.org/10.1134/s0016266322040049

zbMATH Keywords

Stone-Čech compactification\(F\)-spaceextremally disconnected spacecountable subspace\( \mathscr{R}_1\)-space\( \mathscr{R}_2\)-space\( \mathscr{R}_3\)-space\(C^*\)-embedded subspace

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Extension of maps (54C20) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Cites Work

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• Homogeneous subspaces of products of extremally disconnected spaces
• A pseudocompact space in which only the sets of incomplete cardinality are not closed and not discrete
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal

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