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 ?
In the proposed general topology, the number of output voltage levels (N step), number of switches (N switch), number of dc voltage sources(N source), and the maximum magnitude of the generated voltage(Vo, max) are calculated as follows, respectively
This overview of recent concepts and findings in large algebraic substructures is for advanced undergraduate and graduate students with background in calculus of real variables, Lebesgue integration, set theory, linear algebra, general topology, Hilbert/Banach spaces, complex variables, and holomorphic functions.
The concept of fuzzy set was applied in [2] to generalize the basic concepts of general topology.
Engelking, General Topology, Revised and completed edition, Heldermann Verlag Berlin, 1989.
8th Summer Conference on General Topology and Applications, Ann.
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.
They write for students who are familiar with general topology and linear algebra, but not topological vector spaces.
Engelking, General topology, PWN-Polish Scientific Publishers, Warsaw, 1977.
We know in general topology that if X is finite, then (X, T) is finite dimensional where T is any general topology on X.
Digital images can be related to topological space structures, and then general topology principles can be straightforwardly implemented.
The concept of finitistic space in general topology was introduced in 1960 by R.
He also assumes that students are well acquainted with elementary real analysis and have some knowledge of general topology, but not integration, measure theory, or the theory of Fourier series.

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