On compactification of mappings

Compactification of κ-Frames

Matrix Compactification On Orientifolds

Generalizing previous results for orbifolds, in this paper we describe the compactification of Matrix model on an orientifold which is a quotient space R/Γ as a Yang-Mills theory living on a quantum space. The information of the compactification is encoded in the action of the discrete symmetry group Γ on Euclidean space Rd and a projective representation U of Γ. The choice of Hilbert space on ...

On the G-compactification of Products

Let β G X denote the maximal equivariant compactiίication (G-com-pactίfication) of the G-space X (i.e. a topological space X, completely regular and Hausdorff, on which the topological group G acts as a continuous transformation group). If G is locally compact and locally connected, then we show that β G (XX Y) = β G X X β G Y if and only if X X Y is what we call G-pseudocompact, provided X and...

On the Compactification of Concave Ends

The concave end of a 1-corona ρ : X →]a, b[ always can be compactified if n := dimX ≥ 3. This was proved by Rossi [Ro] and Andreotti-Siu [AS]. For n = 2 this not true in general, as shown by a counterexample of Grauert, Andreotti-Siu and Rossi [AS, Gr, Ro]. However, if the concave end of a 1-corona ρ : X →]a, b[ is even hyperconcave (i.e. a = −∞), then this is again true also for dimX = 2. This...

On the existence of Stone-Cech compactification

Introduction. In 1937 E. Čech and M.H. Stone independently introduced the maximal compactification of a completely regular topological space, thereafter called Stone-Čech compactification [8, 18]. In the introduction of [8] the non-constructive character of this result is so described: “it must be emphasized that β(S) [the Stone-Čech compactification of S] may be defined only formally (not cons...