On order structure of the set of one-point Tychonoff extensions of a locally compact space

DOI10.1016/j.topol.2007.02.011zbMath1126.54011arXiv1206.3011OpenAlexW2074863073MaRDI QIDQ2643063

M. R. Koushesh

Publication date: 23 August 2007

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

Full work available at URL: https://arxiv.org/abs/1206.3011

zbMATH Keywords

one-point extensionStone-Čech compactificationone-point compactification\(\beta X\setminus X\)ring of continuous functions.

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40)

Related Items (7)

The existence of one-point connectifications ⋮ Unnamed Item ⋮ The partially ordered set of one-point extensions ⋮ Partially ordered set of zero-dimensional one-point extensions of a topological space ⋮ Connectedness modulo a topological property ⋮ ONE-POINT CONNECTIFICATIONS ⋮ Topological extensions with compact remainder

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On one-point metrizable extensions of locally compact metrizable spaces
• The local compactness of \(\upsilon\)X
• On convergence to infinity
• Stone-Čech compactification of a product
• Lattices of Topological Extensions
• Metrically Isolated Sets
• Local Topological Properties and One Point Extensions

This page was built for publication: On order structure of the set of one-point Tychonoff extensions of a locally compact space