The Central Sets Theorem was introduced by H. Furstenberg and then afterwards several mathematicians have provided various versions extensions of this theorem. All these theorems deal with central sets, its origin from the algebra Stone–Čech compactification arbitrary semigroup, say βS. It can be proved that every closed subsemigroup βS is generated a filter. We will show that, under some restr...

In this paper, we introduce three notions of topological entropy a free semigroup action generated by proper maps for noncompact subsets, which extends the defined Ju et al. [13] and Ma [17]. By using one-point compactification as bridge, study relations entropies between two dynamical systems. We then skew-product transformations, particular subset, relationship upper capacity maps, transforma...

It is proved that there is no structure of left (right) cancelative semigroup on [L]-dimensional universal space for the class of separable compact spaces of extensional dimension ≤ [L]. Besides, we note that the homeomorphism group of [L]-dimensional space whose nonempty open sets are universal for the class of separable compact spaces of extensional dimension ≤ [L] is totally disconnected.

We calculate the production rates of the second Kaluza-Klein (KK) photon γ(2) and Z boson Z(2) at the LHC including all significant processes in the minimal universal extra dimension model. For discrimination of the minimal universal extra dimension model from other TeV scale models in the hadron collider experiment, γ(2) and Z(2) play a crucial role. In order to discuss the discrimination and ...

Let S be a semitopological semigroup and CB(S) denote the C∗-algebra of all bounded complex valued continuous functions on S with uniform norm. A function f ∈ CB(S) is left multiplicative continuous if and only if Tμf ∈ CB(S) for all μ in the spectrum of CB(S), where Tμf(s) = μ(Lsf) and Lsf(x) = f(sx) for each s, x ∈ S. The collection of all the left multiplicative continuous functions on S is ...

A general property of relaxation rates in open quantum systems is discussed. We find an interesting constraint for that universally holds fairly large classes dynamics, e.g., weak coupling regimes, as well entropy nondecreasing evolutions. conjecture this universal, i.e., it valid all dynamical semigroups. The supported by numerical analysis. Moreover, we show the conjectured tight providing a ...

Without the restriction of metrizability, topological dynamical systems (X, 〈Ts〉s∈G) are defined and uniform recurrence and proximality are studied. Some well known results are generalized and some new results are obtained. In particular, a topological dynamical characterization of central sets in an arbitrary semigroup (G,+) is given and shown to be equivalent to the usual algebraic characteri...

R-trees arise naturally in the study of groups of isometries of hyperbolic space. An R-tree is a uniquely arcwise connected metric space in which each arc is isometric to a subarc of the reals. It follows that an R-tree is locally arcwise connected, contractible, and one-dimensional. Unique and local arcwise connectivity characterize R-trees among metric spaces. A universal R-tree would be of i...

Abstract Let G be a semisimple linear algebraic group, $$\rho :G\hookrightarrow \text {SL}(V)$$ ? : G ? SL ( V ) finite-dimensional faithful representation, $$g\g...

A. This article provides two different, but closely related, moduli problems, which in characteristic zero provide a type of compactification of the universal Picard over the moduli of stable curves. Although neither is of finite type, both are limits of a sequence of stacks, each of which is a separated algebraic stack of finite type. We discuss relations to previous compactifications a...