Dynamical characterization of C
... every open neighborhood V of y the set {n ∈ N : T n y ∈ V } has positive upper Banach density and (y, y) belongs the orbit closure of (x, y) in the product system (X × X, T × T ), and an open neighborhood U of y such that F = {n ∈ N : T n x ∈ U}, Central sets have substantial combinatorial contents. ...
... every open neighborhood V of y the set {n ∈ N : T n y ∈ V } has positive upper Banach density and (y, y) belongs the orbit closure of (x, y) in the product system (X × X, T × T ), and an open neighborhood U of y such that F = {n ∈ N : T n x ∈ U}, Central sets have substantial combinatorial contents. ...
Limit Spaces with Approximations
... Bishop-Bridges 1985: This definition “should not be taken seriously. The purpose is merely to list a minimal number of properties that the set of all continuous functions in a topology should be expected to have. Other properties could be added; to find a complete list seems to be a nontrivial and i ...
... Bishop-Bridges 1985: This definition “should not be taken seriously. The purpose is merely to list a minimal number of properties that the set of all continuous functions in a topology should be expected to have. Other properties could be added; to find a complete list seems to be a nontrivial and i ...
Global Aspects of Ergodic Group Actions Alexander S
... of ergodic actions is clopen in the uniform topology and so is each conjugacy class of ergodic actions. In Section 15 we study connectedness properties in the space of actions, using again the method of Section 5. This illustrates the close connection between local connectedness properties and turbu ...
... of ergodic actions is clopen in the uniform topology and so is each conjugacy class of ergodic actions. In Section 15 we study connectedness properties in the space of actions, using again the method of Section 5. This illustrates the close connection between local connectedness properties and turbu ...
NONLINEAR ANALYSIS MATHEMATICAL ECONOMICS
... vectors which maximizes the associated profit. As in the consumer’s problem, there may be no solution, as it may pay to increase the outputs and inputs indefinitely at ever increasing profits. The set of all solutions of the supplier’s problem is called the supply set. Thus, for a given price vector ...
... vectors which maximizes the associated profit. As in the consumer’s problem, there may be no solution, as it may pay to increase the outputs and inputs indefinitely at ever increasing profits. The set of all solutions of the supplier’s problem is called the supply set. Thus, for a given price vector ...
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... is injective in general. (When n = 1 this is an easy consequence of Proposition 2.4 and Lemma 3.1.) The proof of Theorem 1.2 is based on studying the relation between the positive cone and the fibers of the projection π : G → Conj , where Conj is the space of conjugacy classes of elements in G with ...
... is injective in general. (When n = 1 this is an easy consequence of Proposition 2.4 and Lemma 3.1.) The proof of Theorem 1.2 is based on studying the relation between the positive cone and the fibers of the projection π : G → Conj , where Conj is the space of conjugacy classes of elements in G with ...
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.