Basic Notions of Algebra pp 230-239 | Cite as

*K*-theory

Chapter

## Abstract

We now make further use of the notion of a family of vector spaces *f*: *E* → *X* over a topological space *X* introduced at the end of § 5. A *homomorphism* φ: *E* → *E*′ of a family *f*: *E* → *X* into a family *f*′: *E*′ → *X* is a continuous map φ which takes the fibre *f* ^{−1}(*x*) into (*f*′)^{−1}(*x*) and is linear on the fibre for each point *x* ∈ *X*. If φ defines an isomorphism of the fibres, then φ is called an *isomorphism*.

## Keywords

Vector Bundle Fibre Bundle Elliptic Operator Marked Point Division Algebra
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Preview

Unable to display preview. Download preview PDF.

## Copyright information

© Springer-Verlag Berlin Heidelberg 2005