Extensions of Topological Spaces

DOI10.4153/CMB-1964-001-5zbMath0121.17304OpenAlexW2329520519MaRDI QIDQ5732303

Bernhard Banaschewski

Publication date: 1964

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1964-001-5

zbMATH Keywords

topology

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items

A CONSTRUCTION FOR TOPOLOGICAL EXTENSIONS, Clanformities andh-Topological Extensions, An asymmetric approach to filters in strict extensions and quotients, Extensions of continuous functions: reflective functors, Essentially complete \(T_0\)-spaces, Spaces for Which the Stone-Weierstrass Theorem Holds, Developable Spaces and Nearness Structures, Substitution Principle and semidirect products, The Alexandroff one-point compactification as a prototype for extensions, Categorically algebraic topology versus universal topology, Basen und die Fortsetzung stetiger Abbildungen, Essentially complete \(T_ 0-\)spaces. II. A lattice-theoretic approach, Projective and supercoherent frames, Singly generated frame extensions, Supernearness, a common concept of supertopologies and nearness, Approach merotopological spaces and their completion, The completion of a topological group, Unnamed Item, Local Compactness and Simple Extensions of Discrete Spaces, E-kompakte Räume. (E-compact spaces), Nearness Structures and Proximity Extensions, Katětov extension as a functor, The Banaschewski compactification revisited, Extensions of Functions and Spaces, Completion of merotopic spaces and extension of uniform continuous maps, Remarks on Banaschewski-Fomin-Shanin extensions, Extensions and internal structure, Remainders of H-closed extensions