Olejar Books

This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings, published by Springer-Verlag in 1998, by the second-named author, which gave an introduction to buildings from the classical (simplicial) point of view. But it also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as metric spaces. Beginners can still use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. There are serveral paths through the book, so that readers may choose to concentrate on one particular approach. The pace is gentle in the elementary parts of the book, and the style is friendly throughout. All concepts are well motivated. There are thorough treatments of advanced topics such as the Moufang property, with arguments that are much more detailed than those that have previously appeared in the literature. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.