Singular Sets and Remainders

DOI10.2307/1998343zbMath0492.54010OpenAlexW4242180750MaRDI QIDQ3954497

R. E. Chandler, Gary D. Faulkner, G. L. jun. Cain

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998343

zbMATH Keywords

locally compact Hausdorff spacescompact mappings on manifoldsremainder induced by a functionsingular sets of mappings with compact range

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Remainders in general topology (54D40)

Related Items (13)

Remainders, singular sets and the Cantor set ⋮ On an example of Simon ⋮ Singular Compactifications: The Order Structure ⋮ Minimal Compactifications and their Associated Function Spaces ⋮ Countable compactifications and a generalized Hahn-Mazurkiewicz type theorem ⋮ Generalizing the Alexandroff-Urysohn Double Circumference Construction ⋮ Unnamed Item ⋮ Remainders of Compactifications and Their Relation to a Quotient Lattice of the Topology ⋮ Construction of Compactifications using Essential Semilattice Homomorphisms ⋮ When does the family of singular compactifications form a complete lattice? ⋮ Compactifications Whose Remainders are Retracts ⋮ On the supremum of a family of singular compactifications ⋮ Remainders of H-closed extensions

Cites Work

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• Compactification of mappings
• Compact and related mappings
• Remainders in Hausdorff Compactifications
• Properties of βX - X for Locally Connected Generalized Continua
• Continuous Preimages of Spaces with Finite Compactifications
• Accumulation Points of Continuous Realvalued Functions and Compactifications
• A Minimal Compactification for Extending Continuous Functions
• Compactifications as closures of graphs
• Graph Closures and Metric Compactifications of N
• Dynamic Topology

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