general topology


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general topology

[¦jen·rəl tə′päl·ə·jē]
(mathematics)
The branch of topology that studies the relationships between the basic topological properties that spaces may possess. Also known as point-set topology.
References in periodicals archive ?
8th Summer Conference on General Topology and Applications, Ann.
alpha]-finitisticness is good extension of finitisticness in general topology.
Matthews: Partial metric topology, in Proceedings of the 8th Summer Conference on General Topology and Applications, vol.
We know in general topology that if X is finite, then (X, T) is finite dimensional where T is any general topology on X.
They write for students who are familiar with general topology and linear algebra, but not topological vector spaces.
Siwiec, Sequence-covering and countably bi-quotient mappings, General Topology Appl.
The topics are informal topology, graphs, surfaces, graphs and surfaces, knots and links, the differential geometry of surfaces, Riemann geometries, hyperbolic geometry, the fundamental group, general topology, and polytopes.
explain the basics of general topology, nonlinear coordinate systems, the theory of smooth manifolds, the theory of curves and surfaces, transformation groups, tensor analysis and Riemannian geometry, the theory of integration and homologies, fundamental groups, and variational problems of Riemannian geometry.
These students also need a background in general topology and a nodding acquaintance with general algebraic structures.
In general topology, the Separation Axioms have had a convoluted history, with many competing meanings for the same term, and many competing terms for the same concept.
Prerequisites include background in the calculus of functions of several variables, the limiting processes and inequalities of analysis, measure theory, and general topology.
of Barcelona) sets out the basic facts of linear functional analysis and its applications to some fundamental aspects of mathematical analysis, for graduate students of mathematics familiar with general topology, integral calculus with Lebesgue measure, and elementary aspects of normed or Hilbert spaces.

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