The partially ordered set of one-point extensions

DOI10.1016/J.TOPOL.2010.12.001zbMath1216.54007arXiv1205.6729OpenAlexW1966903703MaRDI QIDQ624423

M. R. Koushesh

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/1205.6729

zbMATH Keywords

Stone-Čech compactificationMrówka topological propertyOne-point \(\mathcal{P}\)-extensionthe order-structure of sets of one-point \(\mathcal{P}\)-extensions

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Remainders in general topology (54D40)

Related Items (13)

A Banach algebra representation theorem ⋮ Connectedness modulo an ideal ⋮ The existence of one-point connectifications ⋮ Representation theorems for Banach algebras ⋮ Unnamed Item ⋮ Partially ordered set of zero-dimensional one-point extensions of a topological space ⋮ Realcompact and Lindelöf extensions with compact remainder ⋮ Connectedness modulo a topological property ⋮ A pseudocompactification ⋮ ONE-POINT CONNECTIFICATIONS ⋮ ONE-POINT EXTENSIONS AND LOCAL TOPOLOGICAL PROPERTIES ⋮ Topological extensions with compact remainder ⋮ REPRESENTATION THEOREMS FOR NORMED ALGEBRAS

Cites Work

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• Lattices of Topological Extensions
• On the Hewitt Realcompactification of a Product Space
• A Note on Certain Subalgebras of C()
• Local Topological Properties and One Point Extensions
• A generalization of realcompact spaces
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