Approach spaces.- Topological and metric approach spaces.- Approach invariants.- Index analysis.- Uniform gauge spaces.- Extensions of spaces and morphisms.- Approach theory meets Topology.- Approach theory meets Functional analysis.- Approach theory meets Probability.- Approach theory meets Hyperspaces.- Approach theory meets DCPO's and Domains.- Categorical considerations.
Über den Autor
Robert Lowen is an author of more than 140 journal publications and four books, Promotor of 16 PhD theses, Founding Editor and Editor-in-Chief of Applied Categorical Structures, Associate Editor of 3 other mathematical journals, Member of the Scientific Committees of national and several international Science Foundations.
Provides a self-contained introduction to approach theory and index analysis
Presents applications to topology, functional analysis, probability, hyperspaces and domains
Includes a thorough analysis of the categorical setup of the theory