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Theodore William Gamelin is an American mathematician. He is a professor emeritus of mathematics at the University of California, Los Angeles. [1]Gamelin was born in 1939. He received his B.S. degree in mathematics from Yale University in 1960, [1] and completed his Ph.D. at the University of California, Berkeley in 1963.
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.
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 ...
Download as PDF; Printable version ... Covers are commonly used in the context of topology. If the ... Introduction to Topology, Second Edition, Theodore W. Gamelin ...
Cauchy space – Concept in general topology and analysis; Convergence space – Generalization of the notion of convergence that is found in general topology; Filters in topology – Use of filters to describe and characterize all basic topological notions and results. Sequential space – Topological space characterized by sequences
General topology grew out of a number of areas, most importantly the following: the detailed study of subsets of the real line (once known as the topology of point sets; this usage is now obsolete) the introduction of the manifold concept; the study of metric spaces, especially normed linear spaces, in the early days of functional analysis.
In mathematics, a pointed space or based space is a topological space with a distinguished point, the basepoint.The distinguished point is just simply one particular point, picked out from the space, and given a name, such as , that remains unchanged during subsequent discussion, and is kept track of during all operations.
Gamelin, Theodore W. (2001), Complex analysis, Undergraduate Texts in Mathematics, Springer, ISBN 978-0-387-95069-3 Hubbard, John H. (2006), Teichmüller theory and applications to geometry, topology, and dynamics.