Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vec

Little k has an adventure with items beginning with his letter's sound, such as kittens, kingbirds, a koala, and kids in a kindergarten. Additional features to

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory a

Volume 2 of two - also available in a set of both volumes.

This volume began as the last part of a one-term graduate course given at the Fields Institute for Research in the Mathematical Sciences in the Autumn of 1993.