Connectedness modulo realcompactness

DOI10.1007/S41980-023-00752-0OpenAlexW4317716402MaRDI QIDQ2685722

D. Esmaeilvandi, Abdolaziz Hesari

Publication date: 23 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-023-00752-0

zbMATH Keywords

connectednessperfect maprealcompact\(z\)-embeddedHewitt realcompactificationconnectedness modulo an idealconnectedness modulo realcompactness

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Realcompactness and realcompactification (54D60) Connected and locally connected spaces (general aspects) (54D05) Remainders in general topology (54D40)

Cites Work

• Connectedness modulo an ideal
• Connectedness modulo a topological property
• Algebraic properties of some factor rings of \(C(X)\)
• Extensions of zero-sets and of real-valued functions
• Spaces in Which Special Sets are z-Embedded
• Remarks on open-closed mappings
• Connectedness modulo an ideal; a characterization theorem
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