compactification


Also found in: Dictionary, Wikipedia.

compactification

[käm′pak·tə·fe‚kā·shən]
(mathematics)
For a topological space X, a compact topological space that contains X.
References in periodicals archive ?
Steiner [5] generalised Frink's results and established necessary and sufficient conditions for Wallman space to be a compactification.
They cover a brief introduction to Enriques surfaces; moduli spaces and locally symmetric varieties; moduli of sheaves; Hilbert schemes of points on surfaces; compactification by GIT-stability of the moduli space of abelian varieties; divisors on Burniat surfaces; restricted Lazarsfeld-Mukai bundles and canonical curves; bit I-functions; on the moduli of degree four Del Pezzo surfaces; derived categories of K3 surfaces, symplectic automorphisms, and the Conway group; order 40 automorphisms of K3 surfaces; Kahlerian K3 surfaces and Niemeier lattices; and Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface.
Section 3 gives some elementary examples from random graph theory; the present author is not aware of any previous use of the Doob-Martin compactification in connection with (general) graph limits.
Xu, Nonexistence of asymptotic GIT compactification, Duke Math.
If [kappa] is an infinite cardinal then A([kappa]) is the one-point compactification of a discrete space of cardinality [kappa].
In this respect, one can quote the compactification of nonlinear patterns and waves by Rosenau and Kashdan [3], Weierstrass criterion and compact solitary waves by Destrade et al.
We shall also use the idea of compactification of extra dimensions due to Klein [2].
The Stone-Cech compactification is defined for any sheaf (E, p, T) of sets by adapting standard germination processes to construct a sheaf over the Stone-Cech compactification [beta](T) of T.
Zweck, Compactification problems in the theory of characteristic currents associated with a singular connection, thesis, Rice University, 1993.
O'Grady studies a compactification of the moduli space of smooth double EPW-sextics that is birational to the moduli space of HK 4-folds of Type K3[2] polarized by a divisor of square two for the Beauville-Bogomolov quadratic form.