On topology induced by measure

Convexity and Topology on Measure Spaces

This draft will develop in notes for the Minerva lectures given at Columbia University by the author in October of 2015. At this point, the text is very incomplete and may contain substantial mistakes and inconsistencies. Please do not distribute without permission of the author, and contact via email at [email protected] to report and errors you may have discovered.

Generated topology on infinite sets by ultrafilters

Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.

Gunk, Topology and Measure

A topology induced by uniformity on BL-algebras

BL-algebras have been invented by P. Hájek [3] in order to provide an algebraic proof of the completeness theorem of “Basic Logic” (BL, for short) arising from the continuous triangular norms, familiar in the fuzzy logic framework. The above notion is generalized to an algebraic system in which the required conditions are fulfilled (Definition 2.1). Filters in BL-algebras are also defined. A fi...

A New Network Robustness Topology Measure based on Information Theory

Tiago A. Schieber, Laura Carpi, Alejandro C. Frery, Osvaldo A Rosso, ∗ Panos M. Pardalos, and Mart́ın G. Ravetti † Departmento de Engenharia de Produção, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil 2 Departament de F́ısica i Enginyeria Nuclear, Universitat Politècnica de Catalunya. Colom 11, Terrassa 08222, Barcelona, Spain 3 Laboratório de Computação Cient́ıfica e Análise Num...