Regular (mathematics): Difference between revisions
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Revision as of 20:35, 9 June 2008
In topology
Regular space: A topological space is termed regular if all points are closed sets (the assumption), and, given a point and a closed set not containing it, there are disjoint open sets containing the point and closed set respectively.
In some definitions, the assumption is skipped.
Related terms: regularity (the property of a topological space being regular)
Primary subject wiki entry: Topospaces:Regular space
Also located at: Wikipedia:Regular space, Planetmath:RegularSpace, Mathworld:RegularSpace
In differential geometry
In group theory/representation theory
In geometry
Regular polygon: A polygon in the Euclidean plane is termed regular if all its sides have equal length and all its angles (the internal angles at its vertices) have equal measure.
No subject wiki entry.
Also located at Wikipedia:Regular polygon, Mathworld:RegularPolygon, Planetmath:RegularPolygon
In commutative algebra
In algebraic geometry
In number theory
Regular prime: A regular prime is a prime number that does not divide the class number of the cyclotomic field obtained by adjoining roots of unity to the field of rational numbers.
Pimary subject wiki entry: Number:Regular prime
Also located at Wikipedia:Regular prime, Mathworld:RegularPrime, Planetmath:RegularPrime