This monograph is devoted to the investigation of metric Boolean spaces that are of finite type. The first part contains uniqueness and existence theorems that reduce the study of the spaces under consideration to an investigation of the corresponding algebras [Fraktur capital]A…
The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ℜn. An additional aim is to sketch selected applications in which these m…
A course in metric geometry
by Burago, Dmitri, Burago, Yuri, Ivanov, Sergei V.
fromGraduate studies in mathematics
"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and part…
Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulate…