Grothendieck

Some articles on grothendieck:

Ax–Grothendieck Theorem
... In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck ...
Grothendieck–Katz P-curvature Conjecture - History
... In responding to Kisin's talk on this work at the 2009 Colloque Grothendieck Katz gave a brief account from personal knowledge of the genesis of the conjecture ... Grothendieck put it forth in public discussion in Spring 1969, but wrote nothing on the topic ... technique that became standard in crystalline theory, Grothendieck produced the conjecture as a by-product ...
Grothendieck's Connectedness Theorem
... In mathematics, Grothendieck's connectedness theorem (Grothendieck 2005, XIII.2.1,Lazarsfeld 2004, theorem 3.3.16) states that if A is a complete local ring whose spectrum is k-connected and f is in the maximal ideal ... Grothendieck XIII.2.1 ...
Grothendieck Space
... In mathematics, a Grothendieck space, named after Alexander Grothendieck, is a Banach space X such that for all separable Banach spaces Y, every bounded linear operator from X to Y is ... Every reflexive Banach space is a Grothendieck space ... Conversely, a separable Grothendieck space X must be reflexive, since the identity from X to X is weakly compact in this case ...
Grothendieck Construction
... The Grothendieck construction is an auxiliary construction used in the mathematical field of category theory ... The Grothendieck construct for is the category whose objects are pairs, where is an object and is an element, and for which the set is the set of ...