Web26 de jul. de 2009 · Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of … Web1 de jul. de 2024 · We generalize toposic Galois theory to higher topoi. We show that locally constant sheaves in a locally (n − 1)-connected n-topos are equivalent to representations of its fundamental pro-n-groupoid, and that the latter can be described in terms of Galois torsors.We also show that finite locally constant sheaves in an arbitrary ∞ …
Higher Topos Theory - Wikipedia
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[math/0608040] Higher Topos Theory - arXiv.org
Higher Topos Theory is a treatise on the theory of ∞-categories written by American mathematician Jacob Lurie. In addition to introducing Lurie's new theory of ∞-topoi, the book is widely considered foundational to higher category theory. Since 2024, Lurie has been transferring the contents of Higher … Ver mais Higher Topos Theory covers two related topics: ∞-categories and ∞-topoi (which are a special case of the former). The first five of the book's seven chapters comprise a rigorous development of general ∞-category theory in … Ver mais Higher Topos Theory followed an earlier work by Lurie, On Infinity Topoi, uploaded to the arXiv in 2003. Algebraic topologist Peter May was critical of this preprint, emailing Lurie's then … Ver mais • • If I want to study Jacob Lurie's books "Higher Topoi Theory", "Derived AG", what prerequisites should I have? Ver mais Web23 de jun. de 2015 · Higher Galois theory. We generalize toposic Galois theory to higher topoi. We show that locally constant sheaves in a locally (n-1)-connected n-topos are … Web13 de nov. de 2024 · The book Higher topos theorytogether with Lurie’s work on Stable ∞-Categoriesis close to an (∞,1)(\infty,1)-categorical analog of the 1-categorical material … phil woodhall pottery