A considerable number of papers have appeared concerning separation properties of topological space by taking semi open sets. Considering the continuity of a function, Long (1969) studied implications ...

Brouwer's continuity principle states that all functions from infinite sequences of naturals to naturals are continuous, that is, for every sequence the result depends only on a finite initial segment ...

Abstract The purpose of this paper is to introduce a nano-topological space via graph theory which depends on a neighborhood between the vertices based on undirected graph with example. The Concept of ...

In other words, when the scalar set payoffs functions and feasible constraint mappings are slightly disturbed, by using Fort theorem and continuity results of set-valued mapping optimal value ...

By Murray Goldstein, Cox Business When business owners think about continuity planning, many tend to limit the scope of their plans to simple IT recovery and emergency preparedness. In reality, a ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy's ideas of function, continuity, limit and infinitesimal expressed in his Cours ...