The notion of a probabilistic metric  space  corresponds to thesituations when we do not know exactly the  distance.  Probabilistic Metric space was  introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of  probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are  topological vector spaces and the open mapping an...

We describe an experiment in combining multiple interactive media in one collaborative system. While our system supports context–based display of content, it also supports synchronous awareness between visitors using PDA, hypermedia and VR systems. We are also exploring multiple scales of location: buildings on a street, rooms within a building, and spaces within a room. We describe the design ...

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, int...

We prove that for a broad class of spaces X and Y (including all Souslin spaces), every open surjective mapping f : X ! Y induces the open mapping 7 ! f ?1 between the spaces of probability measures P(X) and P(Y). Connections with the Skorohod representation theorem and its generalizations are discussed.

BACKGROUND The study investigated the perspective of people with mobility limitations (PWML) in Zambia, firstly of their accessibility to public buildings and spaces, and secondly of how their capacity to participate in a preferred lifestyle has been affected. OBJECTIVES Firstly to provide insight into the participation experiences of PWML in the social, cultural, economic, political and civi...

Since the energy consumption has become one of the crisis of modern buildings, modeling the Iranian past architecture patterns could be helpful. The shopping streets as one of the main sectors consuming energy locate near the open spaces it seems, therefore, they need more thermal comfort. However, using passive techniques, the Iranian traditional bazaars architecture solved the problems regard...

Represented Coxeter matroids of types Cn and Dn, that is, symplectic and orthogonal matroids arising from totally isotropic subspaces of symplectic or (even-dimensional) orthogonal spaces, may also be represented in buildings of type Cn and Dn, respectively (see [4, Chapter 7]). Indeed, the particular buildings involved are those arising from the flags or oriflammes, respectively, of totally is...