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- ==Alexander Grothendieck== (n\'ee "Alexander Raddatz" in Berlin, Germany; ...3 KB (403 words) - 03:49, 31 December 2023
- ==Alexander Grothendieck== ...quote from an [http://www-groups.dcs.st-andrews.ac.uk/~history/Biographies/Grothendieck.html article by J J O'Connor and E F Robertson:] ...13 KB (1,929 words) - 03:49, 31 December 2023
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- ==Alexander Grothendieck== (n\'ee "Alexander Raddatz" in Berlin, Germany; ...3 KB (403 words) - 03:49, 31 December 2023
- ...all that a ''[[../Generator/|generator]]'' of a [[../GrothendieckCategory/|Grothendieck category]] <math>\mathcal{G}</math> is called ''proper'' if <math>U</math> ===Grothendieck category lemma=== ...2 KB (292 words) - 08:57, 23 October 2023
- ...ch of a Program"--the original document was written in French by Alexander Grothendieck)=== ...]] and categorical generalizations of Galois theory initiated by Alexander Grothendieck, now developed towards maturity by several other seasoned mathematicians. ...3 KB (450 words) - 04:32, 12 September 2020
- ===Doctoral theses supervised by Alexander Grothendieck=== ====An incomplete list of "theses directed by A. Grothendieck":==== ...3 KB (359 words) - 03:49, 31 December 2023
- ...a of mathematics called ''Anabelian Geometry (AAG)'' began with Alexander Grothendieck's introduction of the term in his seminal and influential report ''"Esquiss ...[../2Groupoid2/|HDA]])}. Thus, the fundamental anabelian question posed by Grothendieck was, and is: ...5 KB (697 words) - 04:42, 12 September 2020
- ...Thus, the fundamental [[../IsomorphismClass/|anabelian]] question posed by Grothendieck was, and is: ...y generated over its ''prime field'' ) such that: <math>2-2g-n < 0</math>. Grothendieck conjectured in 1979 that the [[../SingularComplexOfASpace/|fundamental grou ...6 KB (711 words) - 12:39, 6 May 2023
- ===Doctoral theses supervised by Alexander Grothendieck=== ====An incomplete list of doctoral theses directed by A. Grothendieck==== ...3 KB (356 words) - 05:09, 12 September 2020
- ===Grothendieck and co-Grothendieck Categories=== A ''Grothendieck category'' is an <math>\mathcal{\A}b5</math> category ...8 KB (1,278 words) - 15:29, 12 September 2020
- ...Thus, the fundamental [[../IsomorphismClass/|anabelian]] question posed by Grothendieck was, and is: ...3 KB (383 words) - 15:47, 12 September 2020
- ...FuncAlg.pdf "Functorial Algebraic Geometry: An Introduction" -by Alexander Grothendieck] without implying the approval by A. Grothendieck of these notes.) ...7 KB (1,066 words) - 12:37, 6 May 2023
- ==Alexander Grothendieck== ...quote from an [http://www-groups.dcs.st-andrews.ac.uk/~history/Biographies/Grothendieck.html article by J J O'Connor and E F Robertson:] ...13 KB (1,929 words) - 03:49, 31 December 2023
- ...r-Lefschetz duality]] #[[../DualityAndTriality/|Alexander duality]]: J. W. Alexander's duality theory (cca. 1915) ...ogy theory]] duals: de Rham cohomology <math>\leftarrow \rightarrow</math> Alexander-Spanier cohomology ...5 KB (561 words) - 05:10, 12 September 2020
- #Poincar\'e-Lefschetz duality, and Alexander-Lefschetz duality #Alexander duality: J. W. Alexander's duality theory (cca. 1915) ...5 KB (586 words) - 05:10, 12 September 2020
- #[http://www.uclouvain.be/17501.html Grothendieck's Descent theory] #Grothendieck duality ...13 KB (1,553 words) - 12:37, 6 May 2023
- ==A. Grothendieck's Long March across the Theory of (\'Evariste) Galois== ...Theory") is an approximately 1600--page handwritten manuscript produced by Grothendieck during the years 1980--1981, containing many of the ideas leading to the ...9 KB (1,205 words) - 15:41, 12 September 2020
- during Alexander Grothendieck's tenure at this institute. Brief excerpts of published reports by two esta ...''"The Evolution of Concepts of Space and Symmetry--A Mad Day's Work: From Grothendieck to Connes and Kontsevich"'' ]<ref name='AMS2k1' />: ...9 KB (1,362 words) - 09:58, 15 May 2023
- ...erests in both physics and biology), [[../AlexanderGrothendieck/|Alexander Grothendieck]] --repeatedly and quite strongly-- objected publicly to the use of theoret ...ts was thus a great surprise and source of severe disillusion to Alexander Grothendieck about some of his closest coworkers; he must have felt the same as Caesar u ...6 KB (889 words) - 16:16, 12 September 2020
- during Alexander Grothendieck's tenure at this institute. Brief excerpts of published reports by two esta ...h{The Evolution of Concepts of Space and Symmetry-- A Mad Day's Work: From Grothendieck to Connes and Kontsevich*:}''}{http://www.math.jussieu.fr/~leila/grothendie ...9 KB (1,380 words) - 15:48, 12 September 2020
- ...able functor]] was first reported by [[../AlexanderGrothendieck/|Alexander Grothendieck]] in 1960. ...5 KB (674 words) - 03:14, 13 September 2020
- ...ne of the founding mathematicians of category theory--along with Alexander Grothendieck-- in France). The origins of Alexander Grothendieck's `Pursuing [[../GrothendiecksEsquisseDunProgramme/|stacks]]' "This is an a ...23 KB (3,072 words) - 16:03, 12 September 2020