K-theory

Noun

Meaning

(uncountable, algebra, algebraic geometry, algebraic topology) The study of rings R generated by the set of vector bundles over some topological space or scheme;(dated, obsolete) that part of algebraic topology comprising what is now called topological K-theory.

(countable) The cohomology generated by the set of vector bundles over some topological space or scheme.

Source: en.wiktionary.org

Examples

Michael Atiyah and Friedrich Hirzebruch (right), the creators of topological K-theory The Atiyah–Hirzebruch spectral sequence relates the ordinary cohomology of a space to its generalized cohomology theory. Source: Internet

Several results showed that the newly introduced K-theory was in some ways more powerful than ordinary cohomology theory. Source: Internet

This paper shows how to convert from the K-theory version to a version using cohomology. Source: Internet

Eisenberg Guy 1979 K-theory studies the isomorphism classes of all vector bundles over some topological space. Source: Internet

Similarly algebraic K-theory relies in a way on classifying spaces of groups. Source: Internet

Close letter words and terms