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

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

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

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

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

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

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

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

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

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...

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...

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...

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

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...

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

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

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

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

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

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

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

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

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

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

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

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

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

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...

OCLC 9944489. Bourbaki, Nicolas (1989) [1966]. General Topology: Chapters 1–4 [Topologie Générale]. Éléments de mathématique. Berlin New York: Springer Science...

OCLC 987790956. Bourbaki, Nicolas (1989) [1966]. General Topology: Chapters 1–4 [Topologie Générale]. Éléments de mathématique. Berlin New York: Springer Science...