English Explanatory Dictionary

K-theory

English dictionary entry

Meanings

noun
  1. The study of rings R generated by the set of vector bundles over some topological space or scheme;
  2. 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.
  3. that part of algebraic topology comprising what is now called topological K-theory.
  4. The cohomology generated by the set of vector bundles over some topological space or scheme.

Word forms

K-theory

Etymology

From circa 1960. The K stands for German Klasse (“class”). The theory developed out of algebraic geometry after the 1957 publication of work by German-born French mathematician Alexander Grothendieck.

Derived words

algebraic K-theory complex K-theory K-theory classification Morava K-theory real K-theory topological K-theory twisted K-theory
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