in the field of homological algebra, the Grothendieck spectral sequence, introduced by Alexander Grothendieck in his Tôhoku paper, is a spectral sequence...

younger newcomers including Jean-Pierre Serre and Alexander Grothendieck. Serre, Grothendieck and Laurent Schwartz were awarded the Fields Medal during...

1950; these statements were later proved by Bernard Dwork, Alexander Grothendieck, Michael Artin, and finally by Pierre Deligne, who completed the most...

mathematical research made by the German-born, French mathematician Alexander Grothendieck in 1984. He pursued the sequence of logically linked ideas in his important...

by the Chow ring of a smooth variety, and the Grothendieck group on the left is given by the Grothendieck group of algebraic vector bundles. Due to (Teleman...

Godement, Roger (1998), Topologie algébrique et théorie des faisceaux, Paris: Hermann, ISBN 978-2-7056-1252-8, MR 0345092 Grothendieck, Alexander (1957), "Sur...

by the family of mappings ... Grothendieck 1973, p. 1. Grothendieck 1973, p. 2. Grothendieck 1973, pp. 1–2. Grothendieck 1973, p. 3. Bourbaki, Nicolas...

Roger (2006) [1973], Topologie algébrique et théorie des faisceaux, Paris: Hermann, ISBN 2705612521, MR 0345092 Grothendieck, Alexander (1957), "Sur...

In category theory, a branch of mathematics, Grothendieck's homotopy hypothesis states, homotopy theory speaking, that the ∞-groupoids are spaces. One...

(1984) 335–399. Michael Batanin, Categorical strong shape theory, Cahiers Topologie Géom. Différentielle Catég. 38 (1997), no. 1, 3–66, numdam Marius Dădărlat...

− , x ) {\displaystyle h_{x}=\operatorname {Hom} (-,x)} . Under the Grothendieck construction, h x {\displaystyle h_{x}} corresponds to the comma category...

Thomason, R. W. (1980), "Cat as a closed model category", Cahiers de Topologie et Géométrie Différentielle Catégoriques, 21 (3): 305–324, ISSN 1245-530X...

topology proposed by Alexander Grothendieck in his research program Esquisse d’un programme under the French name topologie modérée (moderate topology)....

que la notion de topos, dérivé naturel du point de vue faisceautique en Topologie, constitue à son tour un élargissement substantiel de la notion d'espace...

Cahiers de Topologie et Géométrie Différentielle Catégoriques. 22 (4): 371–386. Ara, Dimitri (2010). Sur les ∞-groupoïdes de Grothendieck et une variante...

with Myles Tierney a generalization of the Galois theory of Alexander Grothendieck in the setup of locales. Most of his research is in some way related...

Louis; Yetter, David N. (1998), "Examples of categorification", Cahiers de Topologie et Géométrie Différentielle Catégoriques, 39 (1): 3–25 Mazorchuk, Volodymyr...

Riemann and Enrico Betti. Listing introduced the term "Topologie" in Vorstudien zur Topologie, written in his native German, in 1847, having used the...

proof, Grothendieck broke new ground with his concept of Grothendieck groups, which led to the development of K-theory. Alexander Grothendieck (1960–1967)...

solved locally. The central work for the study of sheaf cohomology is Grothendieck's 1957 Tôhoku paper. Sheaves, sheaf cohomology, and spectral sequences...

See Mazurkiewicz, Stefan; Sierpiński, Wacław (1920), "Contribution à la topologie des ensembles dénombrables", Fundamenta Mathematicae 1: 17–27. Bessaga...

operators, discrete groups and von Neumann algebras", Colloque "Analyse et Topologie" en l'Honneur de Henri Cartan (Orsay, 1974), Asterisque, vol. 32–33, Soc...

Christopher B. (1976). "Double groupoids and crossed modules". Cahiers de Topologie et Géométrie Différentielle Catégoriques. 17 (4): 343–362. "Non-commutative...

MR 0071113, PMC 528086, PMID 16589672 Serre, Jean-Pierre (1958), "Sur la topologie des variétés algébriques en caractéristique p", Symposium internacional...

Serre: Peccot lecture and prize 1954–1955, Fields medal 1954 Alexandre Grothendieck: Peccot lecture 1957–1958, Fields medal 1966 Pierre Deligne: Peccot lecture...

Springer-Verlag, ISBN 978-0-387-90271-5. Mayer, Walther (1929), "Über abstrakte Topologie", Monatshefte für Mathematik, 36 (1): 1–42, doi:10.1007/BF02307601, ISSN 0026-9255...

University. Bourbaki, Nicolas (1989) [1966]. General Topology: Chapters 1–4 [Topologie Générale]. Éléments de mathématique. Berlin New York: Springer Science...

which deeply influenced Jean-Pierre Serre, Armand Borel, Alexander Grothendieck and Frank Adams, amongst others of the leading lights of the younger...

(fundamental solutions) Jean-Pierre Serre, Travaux d'Hirzebruch sur la topologie des variétés (topology of algebraic varieties) René Thom, Sur les variétés-bords...

topology, they were subsequently used by Nicolas Bourbaki in their book Topologie Générale as an alternative to the related notion of a net developed in...