Alireza Bagheri Salec
Department of Mathematics, Faculty of Science, University of Qom, P.O.Box 3716146611, Qom, Iran.
[ 1 ] - Generated topology on infinite sets by ultrafilters
Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.
[ 2 ] - Admissible Vectors of a Covariant Representation of a Dynamical System
In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system. In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to...
[ 3 ] - ON SOFT ULTRAFILTERS
In this paper, the concept of soft ultrafilters is introduced and some of the related structures such as soft Stone-Cech compactification, principal soft ultrafilters and basis for its topology are studied.
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