in this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the hypercyclicity criterion. we characterize topological transitivity and semi-hereiditarily of a dynamical system given  by an n-tuple of operators acting on a separable infinite dimensional banach space .

‎for a given measure space $(x,{mathscr b},mu)$ we construct all measure spaces $(y,{mathscr c},lambda)$ in which $(x,{mathscr b},mu)$ is embeddable‎. ‎the construction is modeled on the ultrafilter construction of the stone--v{c}ech compactification of a completely regular topological space‎. ‎under certain conditions the construction simplifies‎. ‎examples are given when this simplification o...

Various aspects of super-space topology and N=l supersymmetry in 2+1 dimensions are explored. Non-Minimal super Yang-Mills theory is used to construct a gauge theory of the N=l super-Poincare’ algebra. A topological super Yang-Mills theory is given and used to compute elements of the cohomology classes of super-monopole moduli space. Submitted to Nuclear Physics B t This work is supported by th...

In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to show some results concerning paracompactness on topology are invalid on supra topology. Finally...

Let A be a partial *-algebra endowed with a topology τ that makes it into a locally convex topological vector space A[τ ]. Then A is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology τ fits with the multiplier structure of A. Besides the obvious cases of topological quasi *-algebras and CQ*-algebras, we examine several c...

In the topological semantics for modal logic, S4 is well-known to be complete for the rational line, for the real line, and for Cantor space: these are special cases of S4’s completeness for any dense-in-itself metric space. The construction used to prove completeness can be slightly amended to show that S4 is not only complete, but also strongly complete, for the rational line. But no similarl...

An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable  spaces in the category $mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $mathbf{STop}$ of soft topological spaces which is a generalizati...

be the Hirzebruch L-class of an oriented manifold M. Let B (or K(; 1)) denote any aspherical space with fundamental group. (A space is aspherical if it has a contractible universal cover.) In 1970 Novikov made the following conjecture. Many surveys have been written on the Novikov Conjecture. The goal here is to give an old-fashioned point of view, and emphasize connections with characteristic ...

We defined and studied four notions of T2 space in intuitionistic L-topological spaces in this paper. We showed some implications among them. Also, we studied some other properties of these concepts.

We prove that the group-measure-space von Neumann algebra L(T) ⋊ SL(2,Z) is solid. The proof uses topological amenability of the action of SL(2,Z) on the Higson corona of Z.