Standard Lemma guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
The study of rings R generated by the set of vector bundles over some topological space or scheme;
Definition source: English Wiktionary via Wiktextract
Usage: uncountable
Topics: algebra, algebraic-geometry, algebraic-topology, geometry, mathematics, sciences, topology
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
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.
that part of algebraic topology comprising what is now called topological K-theory.
Definition source: English Wiktionary via Wiktextract
Usage: dated, obsolete, uncountable
Topics: algebra, algebraic-geometry, algebraic-topology, geometry, mathematics, sciences, topology
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
The cohomology generated by the set of vector bundles over some topological space or scheme.
Definition source: English Wiktionary via Wiktextract
Usage: countable
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
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.
