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Grothendieck

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Preview of On a formula that is not in Grothendieck Topologies in Posets'
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On a formula that is not in Grothendieck Topologies in Posets' (2021lindenhovius-j-to-X.pdf)

122 KBEN 4 pages
Bert Lindenhovius shows that when P is Artinian, there are bijections between P(P), Nucs(P), and GrTops(P), with components denoted as (j 7→J), (J 7→j), (X...
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Preview of http://www.ams.org/notices/200409/fea-grothendieck-part1.pdf
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http://www.ams.org/notices/200409/fea-grothendieck-part1.pdf (fea-grothendieck-part1.pdf)

1.26 MBEN 19 pages
Alexandre Grothendieck is a mathematician of immense sensitivity, with a profound perception of mathematical architecture
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Preview of groth2fib.pdf
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groth2fib.pdf (groth2fib.pdf)

806 KBEN 89 pages
The main purpose of this work is to describe a generalization of the Grothendieck construction for pseudofunctors, providing a biequivalence between the
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Preview of Exotic Configuration Spaces
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Exotic Configuration Spaces (st_2023_05_05.pdf)

164 KBEN 1 page
Exotic configuration spaces are generalizations of usual configuration spaces, considering collections of points marked by different "colours" with permitted...
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abstract (11-27n.pdf)

22 KBMark Steinberger (SUNY Albany) 1422 1999 Mar 22 14:32:19EN 1 page
Decoupling is permissible in some quasi-Banach spaces like Lp and Lp/Hp when 0 < p < 1, but fails in others such as the Schatten ideal Sp when 0 < p < 1, and...
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Preview of Higher Categories
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Higher Categories (Minneapolis.pdf)

342 KBRoss StreetEN 29 pages
Australian work on categories is part of the development of higher categories, with roots in homology theory and the treatment of cohomology rings.
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Preview of Notes on Quasi-Categories: An Extension of Category Theory
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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.
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