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...

design of the new apartment buildings in iran, has been faced to a decline of quality of local life and an improper interaction between inside-outside of residential spaces. this interaction can be affected by the quality of in-between spaces in different scales of apartment buildings in residential developments. in-between spaces of apartment houses refer to a hierarchy of the main entrance, o...

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...

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...

introduction climate has always been one the main factors of designing urban spaces in iran since past centuries. by analyzing urban spaces it can be concluded that different cities have different urban spaces due to climate differences. one of the main reasons of the differences in the type and orientation of urban spaces is the climate as one of the key factors in designing these areas. regar...