discrete topology
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Discrete — in science is the opposite of continuous: something that is separate; distinct; individual. This article is about the possible uses of the word discrete . For a definition of the word discreet , see the Wiktionary entry discreet. Discrete may… … Wikipedia
Discrete space — In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points are isolated from each other in a certain sense. Contents 1 Definitions 2 Properties 3 Uses … Wikipedia
Discrete group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c … Universalium
Discrete symmetry — A discrete symmetry is a symmetry that describes non continuous changes in a system. For example, a square possesses discrete rotational symmetry, as only rotations by multiples of right angles will preserve the square s original appearance.… … Wikipedia
Discrete Morse theory — is a combinatorial adaptation of Morse theory defined on finite CW complexes. Contents 1 Notation regarding CW complexes 2 Discrete Morse functions 3 The Morse complex … Wikipedia
Discrete mathematics — For the mathematics journal, see Discrete Mathematics (journal). Graphs like this are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real world problems, and their… … Wikipedia
Discrete valuation ring — In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non zero maximal ideal. This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions: R is a local… … Wikipedia
Discrete geometry — A collection of circles and the corresponding unit disk graph Combinatorial geometry redirects here. The term combinatorial geometry is also used in the theory of matroids to refer to a simple matroid, especially in older texts. Discrete geometry … Wikipedia
Discrete two-point space — In topology, a branch of mathematics, a discrete two point space is the simplest example of a totally disconnected discrete space. The points can be denoted by the symbols 0 and 1. Any disconnected space has a continuous mapping onto the… … Wikipedia
