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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 .
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 ...
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 ...
A three-dimensional model of a figure-eight knot.The figure-eight knot is a prime knot and has an Alexander–Briggs notation of 4 1.. Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling ...
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]
Before the current general definition of topological space, there were many definitions offered, some of which assumed (what we now think of as) some separation axioms. For example, the definition given by Felix Hausdorff in 1914 is equivalent to the modern definition plus the Hausdorff separation axiom .
He was working mainly on general topology [1] and dimension theory. He is the author of several influential monographs in this field. The 1989 edition of his General Topology is nowadays a standard reference for topology. [2] Engelking died on 16 November 2023, his 88th birthday. [3]