Abstract Homotopy Theory: The Interaction of Category Theory and Homotopy Theory

Abstract

This article is an expanded version of notes for a series of lectures given at the Corso estivo Categorie e Topologia organised by the Gruppo Nazionale di Topologia del M.U.R.S.T. in Bressanone, 2 - 6 September 1991. Those notes have been brought up to date by the addition of new references and a summary of what has happen in the area in the last ten years.