Zobrazeno 1 - 10 of 17 pro vyhledávání: '"Dimitri Ara"'
2
A categorical characterization of strong Steiner ω-categories
Autor: Dimitri Ara, Andrea Gagna, Viktoriya Ozornova, Martina Rovelli
Publikováno v: Journal of Pure and Applied Algebra
Journal of Pure and Applied Algebra, 2023, 227 (7)
Strong Steiner $\omega$-categories are a class of $\omega$-categories that admit algebraic models in the form of chain complexes, whose formalism allows for several explicit computations. The conditions defining strong Steiner $\omega$-categories are
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e75e974e26ae13a32f701cb45c163c3d
https://hdl.handle.net/21.11116/0000-000C-6C51-021.11116/0000-000C-6C4F-4
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4
Joint et tranches pour les $\infty$-catégories strictes
Autor: Dimitri Ara, Georges Maltsiniotis
Publikováno v: Mémoires de la Société Mathématique de France
Mémoires de la Société Mathématique de France, Society Math De France, 2020, 165, pp.1-213
Mémoires de la Société Mathématique de France, 2020, 165, pp.1-213
International audience
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79a747ebe8b7bd3f36e56e63cd7c4871
https://hal.archives-ouvertes.fr/hal-01344056
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5
A Quillen Theorem B for strict ∞‐categories
Autor: Dimitri Ara
Publikováno v: Journal of the London Mathematical Society
Journal of the London Mathematical Society, London Mathematical Society, 2019, 100 (2), pp.470-497. ⟨10.1112/jlms.12220⟩
Journal of the London Mathematical Society, 2019, 100 (2), pp.470-497. ⟨10.1112/jlms.12220⟩
33 pages, v2: title changed, minor modifications, references updated, journal version; International audience; We prove a generalization of Quillen's Theorem B to strict $\infty$-categories. More generally, we show that under similar hypothesis as fo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e6b8a50daf249065e47ff79aa36b967
https://hal.archives-ouvertes.fr/hal-02532688
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6
Akademický článek
Additional value of cardiac magnetic resonance feature tracking parameters for the evaluation of the arrhythmic risk in patients with mitral valve prolapse
Autor: Marco Guglielmo, Dimitri Arangalage, Marco Augusto Bonino, Gianmarco Angelini, Michela Bonanni, Gianluca Pontone, Patrizio Pascale, Laura Anna Leo, Francesco Faletra, Jurg Schwitter, Giovanni Pedrazzini, Pierre Monney, Anna Giulia Pavon
Publikováno v: Journal of Cardiovascular Magnetic Resonance, Vol 25, Iss 1, Pp 1-13 (2023)
Abstract Objectives The identification of patients with mitral valve prolapse (MVP) presenting high arrhythmic risk remains challenging. Cardiovascular Magnetic Resonance (CMR) feature tracking (FT) may improve risk stratification. We analyzed the ro
Externí odkaz: https://doaj.org/article/c05bc8a828514778a08b3494fd1fac09
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7
A Quillen's Theorem A for strict $\infty$-categories I: the simplicial proof
Autor: Dimitri Ara, Georges Maltsiniotis
Publikováno v: Advances in Mathematics
Advances in Mathematics, Elsevier, 2018, 328, pp.446-500. ⟨10.1016/j.aim.2018.01.018⟩
Advances in Mathematics, 2018, 328, pp.446-500. ⟨10.1016/j.aim.2018.01.018⟩
51 pages, in French, v2: extended introduction, journal version; International audience; The aim of this paper is to prove a generalization of the famous Theorem A of Quillen for strict $\infty$-categories. This result is central to the homotopy theo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc9360affb4552abc2ba834ba33ea734
https://hal.archives-ouvertes.fr/hal-02087474
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8
On autoequivalences of the $$(\infty , 1)$$ ( ∞ , 1 ) -category of $$\infty $$ ∞ -operads
Autor: Moritz Groth, Dimitri Ara, Javier J. Gutiérrez
Publikováno v: Mathematische Zeitschrift. 281:807-848
We study the (\infty, 1)-category of autoequivalences of \infty-operads. Using techniques introduced by Toen, Lurie, and Barwick and Schommer-Pries, we prove that this (\infty, 1)-category is a contractible \infty-groupoid. Our calculation is based o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::376f5ecbe299cc1a790d0e4c88a77e80
https://doi.org/10.1007/s00209-015-1509-5
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9
Strict ∞-groupoids are Grothendieck ∞-groupoids
Autor: Dimitri Ara
Publikováno v: Journal of Pure and Applied Algebra. 217:2298-2312
We show that there exists a canonical functor from the category of strict ∞ -groupoids to the category of Grothendieck ∞ -groupoids and that this functor is fully faithful. As a main ingredient, we prove that free strict ∞ -groupoids on a globu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::69b0f0c5a3512c4c571f3a3a020a278d
https://doi.org/10.1016/j.jpaa.2013.03.008
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10
On the homotopy theory of Grothendieck -groupoids
Autor: Dimitri Ara
Publikováno v: Journal of Pure and Applied Algebra. 217:1237-1278
We present a slight variation on a notion of weak ∞ -groupoid introduced by Grothendieck in Pursuing Stacks and we study the homotopy theory of these ∞ -groupoids. We prove that the obvious definition for homotopy groups of Grothendieck ∞ -grou
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ab50fabad4f1a92d7b162a2fed9b333
https://doi.org/10.1016/j.jpaa.2012.10.010
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