Approach Spaces

The Missing Link in the Topology-Uniformity-Metric Triad

R. Lowen

Clarendon Press

Oxford Mathematical Monographs

Uncovers links with a diverse range of mathematical fields
Provides a theory with interesting categorical features

Approach Spaces

The Missing Link in the Topology-Uniformity-Metric Triad

R. Lowen

Clarendon Press

Oxford Mathematical Monographs

Description

In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to treat all three concepts as a special case of the concept of approach spaces developed previously by the author in a number of research articles.

Approach Spaces

The Missing Link in the Topology-Uniformity-Metric Triad

R. Lowen

Clarendon Press

Oxford Mathematical Monographs

Approach Spaces

The Missing Link in the Topology-Uniformity-Metric Triad

R. Lowen

Clarendon Press

Oxford Mathematical Monographs

Author Information

R. Lowen, University of Antwerp, Belgium

Approach Spaces

The Missing Link in the Topology-Uniformity-Metric Triad

R. Lowen

Clarendon Press

Oxford Mathematical Monographs

Reviews and Awards

"This book gives a new and complete development of the fundamentals of the theory of approach spaces as originally introduced by the author between 1987 and 1989... an approach structure is the richest structure, overlying the initial topology, which one can preserve when making such initial structures." - L"Enseignement Mathematique