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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 .
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]
In mathematics, general topology or point set topology is that branch of topology which studies properties of general topological spaces (which may not have further structure; for example, they may not be manifolds), and structures defined on them.
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 ...
Continuum (topology) Extended real number line; Long line (topology) Sierpinski space; Cantor set, Cantor space, Cantor cube; Space-filling curve; Topologist's sine curve; Uniform norm; Weak topology; Strong topology; Hilbert cube; Lower limit topology; Sorgenfrey plane; Real tree; Compact-open topology; Zariski topology; Kuratowski closure ...
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.
In general topology, a polytopological space consists of a set together with a family {} of topologies on that is linearly ordered by the inclusion relation where is an arbitrary index set. It is usually assumed that the topologies are in non-decreasing order.