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.

In this paper, using pre-semi-open L-sets and their inequality, a new notion of PS-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This notion does not depend on the structure of the basis lattice L and L does not need any distributivity.

urban space can be the most successful public arena in this century if employ the potentialsfor collective cooperation in creative ways in order to provide further services. the theory of creative city tries tostrengthen the qualities which enhance the image of a city for the citizens and create a dynamic city in terms of cultureand intercultural learning. therefore, the existence of generator,...

BACKGROUND AND AIM: Existence of developmental spaces during the primary dentition period is essential for the permanent dentition period and results in regular eruption of permanent teeth. The wide class of different occlusion and dental arch types during the primary dentition period, based on factors such as race, conducted to research the prevalence of these...

In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

‎In this paper we have introduced new types of sets termed as $omega_{_{gamma_{_mu}}}$-open sets with the help of an operation and a generalized topology‎. ‎We have also defined a notion of $gamma_{_mu}$-Lindel"{o}f spaces and discussed some of its basic properties‎.  

The concept of γ-semi-regular-open sets and γ-sclosed spaces have been introduced and explored in [6]. In this paper, we continue studying the properties and characterizations of γ-semi-regular open sets and γ-s-closed spaces.

In this paper we extend the notions of γ-operation, pre-open msets , αopen msets, semi open msets, b-open msets and β-open msets to M-topological spaces. These types of msets are new classes of multisets. We study the relations between these different types of submsets of M-topological spaces. Also, we study some of their properties and show that these types generalize the notion of open (close...