Infinite-dimensional vector bundles in algebraic geometry: An introduction

Abstract

The goal of this work is to show that there is a reasonable algebro-geometric notion of vector bundle with infinite-dimensional locally linearly compact fibers and that these objects appear “in nature.” Our approach is based on some results and ideas discovered in algebra during the period 1958–1972 by H. Bass, L. Gruson, I. Kaplansky, M. Karoubi, and M. Raynaud.