compactification

(redirected from Compactifications)

compactification

[käm′pak·tə·fe‚kā·shən]
(mathematics)
For a topological space X, a compact topological space that contains X.
References in periodicals archive ?
In each case, as we actually expect an analogue for any moduli of general polarized Kaahler-Einstein varieties with non-positive scalar curvatures, we introduce and study two similar (non-variety) compactifications of the moduli space M, which we denote by [[bar.M].sup.GH] and [[bar.M].sup.T].
Compactifications of PEL-Type Shimura Varieties and Kuga Families With Ordinary Loci.
de Alwis, "Brane worlds in 5D and warped compactifications in IIB," Physics Letters.
Isbel, Some property of compactifications, Duke Math.
The much larger symmetry structure is obtained in compactifications to two dimensions and gives rise to 24-dimensional lattices.
We note that the state space compactifications are abstract constructions so that the only uniqueness that we may expect is up to homeomorphisms; usually there are many possibilities for a concrete description.
Liu, Remainders in compactifications of topological groups, Topology Appl.
Some physicists today think that particles are 'compactifications' of multidimensional geometrical 'strings' or 'branes' (from membranes) and that spacetime is not the given framework within which they interact but is a phenomenon that emerges from the patterns of their interactions.
Among the topics are elusive worldsheet instantons in heterotic string compactifications, the Witten equation and the geometry of the Landau-Ginzburg model, algebraic topological string theory, the fibrancy of symplectic homology in cotangent bundles, and the theory of higher rank stable pairs and virtual localization.
From subsequent investigations concept of grills has shown to be a powerful supporting and useful tool like nets and filters, further we get a deeper insight into studying some topological notions such as proximity spaces, closure spaces and the theory of compactifications and extension problems of different kinds.
The concept of grills has shown to be a powerful supporting and useful tool like nets and filters, for getting a deeper insight into further studying some topological notions such as proximity spaces, closure spaces and the theory of compactifications and extension problems of different kinds ([2], [3], [9]).