Partially ordered set of zero-dimensional one-point extensions of a topological space

DOI10.1016/j.topol.2024.108818MaRDI QIDQ6150790

A. R. Olfati

Publication date: 9 February 2024

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

zbMATH Keywords

zero-dimensional spaceBoolean algebraidealone-point extensionBanaschewski compactification\( \mathbb{N} \)-compact space

Mathematics Subject Classification ID

Partial orders, general (06A06) Structure and representation theory of distributive lattices (06D05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Remainders in general topology (54D40) Local compactness, (sigma)-compactness (54D45) Structure theory of Boolean algebras (06E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Alexandroff one-point compactification as a prototype for extensions
• The partially ordered set of one-point extensions
• On one-point metrizable extensions of locally compact metrizable spaces
• On convergence to infinity
• One-point extensions of locally compact paracompact spaces
• Topological extensions with compact remainder
• On order structure of the set of one-point Tychonoff extensions of a locally compact space
• ONE-POINT EXTENSIONS AND LOCAL TOPOLOGICAL PROPERTIES
• Compactification-like extensions
• Introduction to Boolean Algebras
• Lattices of Topological Extensions
• Boundedness, one-point extensions and B-extensions
• Local Topological Properties and One Point Extensions
• Über nulldimensionale Räume

This page was built for publication: Partially ordered set of zero-dimensional one-point extensions of a topological space