Search results
Results from the WOW.Com Content Network
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.
Pointless topology (also called point-free or pointfree topology) is an approach to topology that avoids mentioning points. The name 'pointless topology' is due to John von Neumann . [ 9 ] The ideas of pointless topology are closely related to mereotopologies , in which regions (sets) are treated as foundational without explicit reference to ...
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 ...
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]
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 ...
Module theory and general chain complexes are developed by Noether and her students, and algebraic topology begins as an axiomatic approach grounded in abstract algebra. 1931: Georges de Rham: De Rham's theorem: for a compact differential manifold, the chain complex of differential forms computes the real (co)homology groups. [26] 1931: Heinz Hopf
Allen Hatcher, Algebraic Topology, Cambridge University Press, Cambridge, 2002. ISBN 0-521-79540-0. A modern, geometrically flavored introduction to algebraic topology. The book is available free in PDF and PostScript formats on the author's homepage. Kainen, P. C. (1971). "Weak Adjoint Functors". Mathematische Zeitschrift. 122: 1– 9.
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.