The Grothendieck construction (named after Alexander Grothendieck) is a construction used in the mathematical field of category theory. It is a fundamental...

Alexander Grothendieck, later Alexandre Grothendieck in French (/ˈɡroʊtəndiːk/; German: [ˌalɛˈksandɐ ˈɡʁoːtn̩ˌdiːk] ; French: [ɡʁɔtɛndik]; 28 March 1928 –...

will also contain a homomorphic image of the Grothendieck group of M. The Grothendieck group construction takes its name from a specific case in category...

connection Grothendieck construction Grothendieck duality Grothendieck existence theorem Grothendieck fibration Grothendieck's Galois theory Grothendieck group...

Examples of results gleaned from the K-theory approach include the Grothendieck–Riemann–Roch theorem, Bott periodicity, the Atiyah–Singer index theorem...

\rightthreetimes produces ⋌. Affine Lie algebra Grothendieck construction, a categorical construction that generalizes the semidirect product Holomorph...

of K-theory takes its name from a 1957 construction of Alexander Grothendieck which appeared in the Grothendieck–Riemann–Roch theorem, his generalization...

(\mathrm {Sch} /S)} through the Grothendieck construction. Getting the correct technical conditions, such as the Grothendieck topology on ( S c h / S ) {\displaystyle...

cancellation property can always be embedded in a group via the Grothendieck group construction. That is how the additive group of the integers (a group with...

In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C that makes the objects of C act like the open sets...