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In mathematics, a coherent topos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products.[1]
In mathematics, a coherenttopos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products. spectral...
sometimes possible to find a topos formalizing the heuristic. An important example of this programmatic idea is the étale topos of a scheme. Another illustration...
transferring the contents of Higher Topos Theory (along with new material) to Kerodon, an "online resource for homotopy-coherent mathematics" inspired by the...
capable of expressing many mathematical theories and has close connections to topos theory. A theory of first-order logic is geometric if it is can be axiomatised...
theory; Foundations of mathematics building on categories, for instance topos theory; Abstract geometry, including algebraic geometry, categorical noncommutative...
-topos of some topological space There must exist a cover U i {\displaystyle U_{i}} of X t o p {\displaystyle X_{top}} such that the induced topos (...
topological spaces and proper maps f, in algebraic geometry for (quasi-)coherent sheaves and f proper or g flat, similarly in analytic geometry, but also...
will have an associated site, we can consider quasi-coherent sheaves on the site, giving a topos-theoretic notion of modules. Duallypg 2, comodules over...
of the corresponding category of sheaves of sets viewed abstractly as a topos (A. Grothendieck). In all these cases, a space is reconstructed from the...
A dystopia (from Ancient Greek δυσ (dus) 'bad', and τόπος (tópos) 'place'), also called a cacotopia or anti-utopia, is a community or society that is...
algebra General abstract nonsense Categorification Coherency (homotopy theory) Lurie, Jacob. Higher Topos Theory (PDF). MIT. p. 4. Baez & Dolan 1998, p. 6...
first cohomology group. The dimension of a vector space of sections of a coherent sheaf is finite, in projective geometry, and such dimensions include many...
Flat morphisms are used to define (more than one version of) the flat topos, and flat cohomology of sheaves from it. This is a deep-lying theory, and...
quasi-coherent sheaves on Proj of a graded ring are the same as graded modules over the ring up to finite dimensional factors. The philosophy of topos theory...
category CohSp of coherent spaces (and coherent maps) is equivalent to the category CohLoc of coherent (or spectral) locales (and coherent maps), on the assumption...
Stephanie Malia Hom (28 May 2024). "Consuming the View: Tourism, Rome, and the Topos of the Eternal City". Annali d'Igtalianistica. 28: 91–116. JSTOR 24016389...
process, and a profession. As knowledge, it is information integrated in a coherent space-time context that supports descriptions, explanations, or forecasts...
the foundations for such a topic could be laid down and relativized using topos theory making way for higher gerbes. Moreover, he was critical of using...
following the outline of certain ideas from Plato's Statesman, he developed a coherent theory of integrating various forms of power into a so-called mixed state:...
complement it. Closely linked to these cohomology theories, he originated topos theory as a generalisation of topology (relevant also in categorical logic)...
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