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Simpliciaux
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http://hhoppe.com/recon.pdf (recon.pdf)
562 KBEN 8 pages
The algorithm takes an unorganized set of points in 3D space as input and produces a simplicial surface that approximates the unknown manifold.
Higher Topos Theory (HTT.pdf)
4.53 MBEN 949 pages
Higher Topos Theory by Jacob Lurie, published in 2009, covers topics including foundations for higher category theory, fibrations of simplicial sets, the...
Notes on Quasi-Categories: An Extension of Category Theory (download.pdf)
560 KBEN 84 pages
Notes on quasi-categories by André Joyal outlines a structured model with elements, equivalences (including Morita), factorisation systems, limits/colimits, and higher categories, applicable in various mathematical contexts.
Download (631Kb) (WRAP-geometric-structures-Gromov-order-Kodaira-dimensions-simplicial-Zhang-2021.pdf)
631 KBEN 29 pages
The Warwick Research Archive Portal (WRAP) makes a work by University of Warwick researchers available open access, with copyright and moral rights belonging...
my notes (2014-05-26-Main.pdf)
3.02 MBEN 710 pages
These notes on homotopical algebra serve as an annotated index to standard references, focusing on definitions and results, not proofs, covering topics such as...
Poincaré Duality (ArxivJanvier2017.pdf)
483 KBEN 30 pages
Poincaré duality is established via a cap product between the intersection homology of a paracompact oriented pseudomanifold and the cohomology given by the...
print (8-11p.pdf)
181 KBEN 11 pages
The authors prove that for a finitely presented group acting properly discontinuously, cocompactly, and by isometries on a simply connected Riemannian...
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higher theory notes categories simplicial topos topics including category quasi warwick poincaré duality hhoppe recon algorithm takes unorganized points space input produces surface approximates unknown manifold jacob lurie published
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