Compact \(T_ 0\)-spaces and \(T_ 0\)-compactification

DOI10.1007/BF00872990zbMath0796.54034OpenAlexW3005172662MaRDI QIDQ690387

Horst Herrlich

Publication date: 28 September 1994

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00872990

zbMATH Keywords

Wallman compactificationČech-Stone compactification\(C^*\)- embeddings\(E\)-compactifications\(k\)-complete spaces\(k\)-completionsalmost reflective subcategories of Topnearly closed subspaces

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Compactness (54D30) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Extension of maps (54C20) (C)- and (C^*)-embedding (54C45)

Related Items

\(I\)-spaces, nodec spaces and compactifications, Weakly submaximal spaces and compactifications, The classes of mutual compactificability, Mutually compactificable topological spaces, H-spectral spaces, A short note on nearly perfect maps of locales

Cites Work

• Counting finite posets and topologies
• Almost reflective subcategories of \(\mathbf T \mathbf o \mathbf p\)
• Compactness and product spaces
• Universal compact T1 spaces
• Life Without T 2
• Pathology of Upper Stone-Cech Compactifications
• The Wallman compactification as a functor
• Compact Spaces and Products of Finite Spaces
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