in this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $x$,  where $x$ is a $c$-distinguished topological space. then, we show that their dual spaces can be identified in a natural way with certain spaces of radon measures.

The adverb ”then” is among the most frequent English temporal adverbs, being also capable of filling a variety of semantic roles. The identification of anaphoric usages of ”then” is important for temporal expression resolution, while the temporal relationship usage is important for event ordering. Given that previous work has not tackled the identification and temporal resolution of anaphoric ”...

we study umbilic (space-like) submanifolds of pseudo-riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo euclidean space and relate this notion to umbilicity. finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.a pseudo-riemannian submanifold m in (a ps...

Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a...

urban design problems have become so complex that no single designer is able to consider all aspects of a design area simultaneously. lately the application of computerized and scientific methods have helped designers analyze complex problems. one of these new methods is space syntax. the purpose of this study is to first investigate the strengths and weaknesses of this method and then suggest ...

The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points. Furthermore, this paper is an attempt to present compatibility definitions for the distance between a point and a subset of a metric-like space and also for the distance between two subsets of a metr...

Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.

Quantitative identification of physical changes, developments and dynamic position of urban green space is considered as the first step in its planning. By means of the aerial photos taken in 1956, 1974, and 1994 as well as the Quick Bird satellite image captured in 2006, this study has dealt with changes in per capita green space in Khorramabad during these years. First, geometric corrections ...