Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its d-Scott topology; for standard quasi-metric spaces, algebraicity is equivalent to having enough center points; on a standard quasi-metric space, every lower sem...

Using the idea of ic-open sets, we introduce and investigate topological qualities an ic-closure, ic-interior, ic-limit points, ic-derived, ic-border, ic-frontier, ic-exterior a set. Introduce concepts "ic-continuous mappings," "ic-open "ic-irresolute "ic-totally continuous "ic-homeomorphism," then look into some properties these mappings

The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.

We axiomatically characterize the class of pairwise irresolute social choice functions that are group-strategyproof according to Kelly’s preference extension. The class is narrow but contains a number of appealing Condorcet extensions such as the minimal covering set and the bipartisan set, thereby answering a question raised independently by Barberà (1977a) and Kelly (1977). These functions fu...

The aim of this paper is to introduce the concept of fuzzy generalized closed set and study its properties. Secondly the concept of infra L-fuzzy topological space is introduced. Making use of fuzzy -closed sets and fuzzy -generalized closed sets the concept of fuzzy -generalized continuous mapping is introduced. Lastly the concept of fuzzy generalized closed irresolute map in L-fuzzy topologic...

In this paper, we shall introduce generalized fuzzy compactness in L-spaces where L is a complete de Morgan algebra. This definition does not rely on the structure of basis lattice L and no distributivity is required. The intersection of a generalized fuzzy compact L-set and a generalized closed Lset is a generalized fuzzy compact L-set. The generalized irresolute image of a generalized fuzzy c...

? ho is remembered chiefly for the disasters of the Franco-German war and 0r his capture by the Germans at Sedan. Inevitably he has suffered by comj^rison with his famous uncle, the great Napoleon Bonaparte, and he has jj?1* dismissed as a weak and irresolute man of small capacity, and even sj!611 ^ubbed Napoleon the Little. To live in the shadow of genius is no easy Ration for any man, and Lou...