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Kelley's 1955 text, General Topology, which eventually appeared in three editions and several translations, is a classic and widely cited graduate-level introduction to topology. An appendix sets out a new approach to axiomatic set theory, now called Morse–Kelley set theory, that builds on Von Neumann–Bernays–Gödel set theory.
In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology , geometric topology , and algebraic topology .
His research, comprising over 200 published papers, covers various subfields of general topology. He has done particularly important work in metrizability theory and generalized metric spaces , cardinal functions , topological function spaces and other topological groups , and special classes of topological maps.
View history; Tools. Tools. move to sidebar ... Download as PDF; Printable version ... general topology or point set topology is that branch of topology which studies ...
Categorical topology: The study of topological categories of structured sets (generalizations of topological spaces, uniform spaces and the various other spaces in topology) and relations between them, culminating in universal topology. General categorical topology study and uses structured sets in a topological category as general topology ...
The Stone–Čech compactification of the topological space X is a compact Hausdorff space βX together with a continuous map i X : X → βX that has the following universal property: any continuous map f : X → K, where K is a compact Hausdorff space, extends uniquely to a continuous map βf : βX → K, i.e. (βf)i X = f.
Wolfgang Franz (born 4 October 1905 in Magdeburg, Germany; died 26 April 1996 [1]) was a German mathematician [2] [3] who specialised in topology particularly in 3-manifolds, which he generalized to higher dimensions. [4]
Engelking in 2014. Ryszard Engelking (16 November 1935 – 16 November 2023) was a Polish mathematician. He was working mainly on general topology [1] and dimension theory.He is the author of several influential monographs in this field.