CHAPTER 23

Linear Topological Geometries

Theo GRUNDHÖFER

Universität Tübingen, Mathematisches Institut,
Auf der Morgenstelle 10, D-72076 Tübingen, Germany

Rainer LÖWEN

Technische Universität Braunschweig, Abteilung für Topologie,
Pockelsstr. 14, D-38106 Braunschweig, Germany

Contents

Introduction

1. Topological projective spaces

2. Stable spaces

3. Geometry and topology of stable planes

4. Topological projective planes

5. Homogeneous stable planes

Results on planes of arbitrary dimension

. 2-dimensional planes

4-dimensional planes

. 8-dimensional planes

Symmetric planes

6. Generalized polygons and buildings

7. Some related topics

References