SINGULARITIES ON COMPLETE ALGEBRAIC VARIETIES 1
... is locally (in an analytic sense) biholomorphic to any open neighboorhood of p in V . We proceed to show that all the analytic singularities in dimension 2 are locally algebraic. Let p be a point of a complex analytic surface S, and suppose that S is normal at p. By Proposition 2.1, there exists an ...
... is locally (in an analytic sense) biholomorphic to any open neighboorhood of p in V . We proceed to show that all the analytic singularities in dimension 2 are locally algebraic. Let p be a point of a complex analytic surface S, and suppose that S is normal at p. By Proposition 2.1, there exists an ...
New York Journal of Mathematics CP-stability and the local lifting
... Proposition 3.2. A unital C∗ -algebra is nuclear if and only if it is CP-stable and seminuclear. In this light is seems strange that (at least to my knowledge) this property has remained unexamined. Clearly, there are nonseminuclear C∗ -algebras, namely C∗ (Fn ) for 2 ≤ n ≤ ∞. It is likely that B(`2 ...
... Proposition 3.2. A unital C∗ -algebra is nuclear if and only if it is CP-stable and seminuclear. In this light is seems strange that (at least to my knowledge) this property has remained unexamined. Clearly, there are nonseminuclear C∗ -algebras, namely C∗ (Fn ) for 2 ≤ n ≤ ∞. It is likely that B(`2 ...
Chapter 3 Topological and Metric Spaces
... Topological and Metric Spaces The distance or more generally the notion of nearness is closely related with everyday life of any human being so it is natural that in mathematics it plays also an important role which might be considered in certain periods even as starring role. Despite the historical ...
... Topological and Metric Spaces The distance or more generally the notion of nearness is closely related with everyday life of any human being so it is natural that in mathematics it plays also an important role which might be considered in certain periods even as starring role. Despite the historical ...
GEOMETRIC REPRESENTATION THEORY OF THE HILBERT SCHEMES PART I
... Theorem 2.4. The representation M is the Fock module over H. Remark 2.5. For general X, one incorporates all choices of α, β into an action of the Heisenberg superalgebra A(V ), corresponding to the super vector space V = Heven (X) ⊕ Hodd (X). Same argument proves that M is the Fock module over A(V ...
... Theorem 2.4. The representation M is the Fock module over H. Remark 2.5. For general X, one incorporates all choices of α, β into an action of the Heisenberg superalgebra A(V ), corresponding to the super vector space V = Heven (X) ⊕ Hodd (X). Same argument proves that M is the Fock module over A(V ...
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X is a ""sufficiently good"" topological space, there is a bijection between the collection of all isomorphism classes of connected coverings of X and the conjugacy classes of subgroups of the fundamental group of X.