Results 41 to 50 of about 687 (157)
Topological and metric entropy for group and semigroup actions
It is well-known that the classical definition of topological entropy for group and semigroup actions is frequently zero in some rather interesting situations, e.g. smooth actions of ℤk+ (k >1) on manifolds.
Stoyanov Luchezar
doaj +1 more source
Extending binary operations to funtor-spaces
Given a continuous monadic functor $T:CompoComp$ in thecategory of compacta and a discrete topological semigroup $X$ weextend the semigroup operation $varphi:Ximes Xo X$ to aright-topological semigroup operation $Phi:Teta Ximes TetaXo Teta X,$ whose ...
T. O. Banakh, V. M. Gavrylkiv
doaj
Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type
We use a previously obtained topological characterization of Gelfand-Shilov spaces of Beurling type to characterize its dual using Riesz representation theorem.
Hamed M. Obiedat, Lloyd E. Moyo
doaj +1 more source
On the S-Invariance Property for S-Flows
We define an equivalence relation on a topological space which is acted by topological monoid S as a transformation semigroup. Then, we give some results about the S-invariant classes for this relation.
Amin Saif, Adem Kılıçman
doaj +1 more source
C0-continuity of the Fröbenius-Perron semigroup
We consider the Fröbenius-Perron semigroup of linear operators associated to a semidynamical system defined in a topological space X endowed with a finite or a σ-finite regular measure.
Andrés Navas, Sergio Plaza
doaj +1 more source
On continuity of homomorphisms between topological Clifford semigroups
Generalizing an old result of Bowman we prove that a homomorphism $f:X\to Y$ between topological Clifford semigroups is continuous if • the idempotent band $E_X=\{x\in X:xx=x\}$ of $X$ is a $V$-semilattice; • the topological Clifford semigroup
I. Pastukhova
doaj +1 more source
Semigroup Actions on Intuitionistic Fuzzy Metric Spaces
This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. We give some concepts such as topological transitivity, point transitivity, and densely point transitivity for such ...
Yaoyao Lan, Qingguo Li
doaj +1 more source
Existence of a utility on a topological semigroup [PDF]
This paper presents a comprehensive mathematical framework in which a unified treatment of additive and expected utility can be given. For achieving this, elaborate structural assumptions, characterizing a simply ordered, topological semigroup, have to be established in order to construct an isomorphism with the additive group of real numbers.
openaire +3 more sources
On the closure of the extended bicyclic semigroup
In the paper we study the semigroup $mathscr{C}_{mathbb{Z}}$which is a generalization of the bicyclic semigroup. We describemain algebraic properties of the semigroup$mathscr{C}_{mathbb{Z}}$ and prove that every non-trivialcongruence $mathfrak{C}$ on the
I. R. Fihel, O. V. Gutik
doaj
An (L)-semigroup S is a compact n-manifold with connected boundary B together with a monoid structure on S such that B is a subsemigroup of S. The sum S + T of two (L)-semigroups S and T having boundary B is the quotient space obtained from the ...
John R. Martin
doaj +1 more source