\documentclass[12pt,reqno]{amsart}
\usepackage{mathtime}
\usepackage{amssymb}

\title[Bredon Homology]{On Dimensions in Bredon Homology}

\author{Brita E. A. Nucinkis}
\address{Departement Mathematik, ETH-Zentrum, CH8092 Z\"urich}
\date{6 May 2002}

\begin{document}


\begin{abstract}

We shall define a homological and cohomological dimension of groups
in the context of Bredon homology and compare the two quantities.
We shall apply this to describe the Bredon-homological dimension
of nilpotent groups in terms of the Hirsch-rank. In particular this implies
that for virtually torsion-free nilpotent groups the Bredon cohomological 
dimension is equal to the virtual cohomological dimension. 


\end{abstract}
\maketitle

This is a Preprint.


\end{document