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In mathematics, a topos (US: /ˈtɒpɒs/, UK: /ˈtoʊpoʊs,ˈtoʊpɒs/; plural topoi/ˈtɒpɔɪ/ or /ˈtoʊpɔɪ/, or toposes) is a category that behaves like the category of sheaves of sets on a topological space (or more generally: on a site). Topoi behave much like the category of sets and possess a notion of localization; they are a direct generalization of point-set topology.[1] The Grothendieck topoi find applications in algebraic geometry; the more general elementary topoi are used in logic.
The mathematical field that studies topoi is called topos theory.
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...
abbreviated as TOPOTOPO cloning, in genetics Los Topos, a 1970s California theatre group, one of whose members was also known as TopoTopo (DC Comics),...
Los Topos was a subversive, community theater group in California during the 1970s. They named themselves after the Spanish word for "mole" (topo), referring...
Topo-Chico is a brand of sparkling mineral water from Mexico. Topo-Chico is both naturally carbonated at the source and artificially carbonated. Topo-Chico...
particular, the effective topos is R T ( K 1 ) {\displaystyle {\mathsf {RT}}({\mathcal {K}}_{1})} . Other realizability topos construction can be said...
mathematics, a ringed topos is a generalization of a ringed space; that is, the notion is obtained by replacing a "topological space" by a "topos". The notion...
content of Higher Topos Theory and uses it to study algebra in the ∞-categorical context. http://ncatlab.org/nlab/show/Higher+Topos+Theory If I want to...
Internacional de Rescate Tlatelolco A.C, commonly known as the Topos de Tlatelolco or Los Topos, is a professional non-profit Mexican rescue team. Their specialty...
Topo Islet (Portuguese: Ilhéu do Topo) is a vegetated uninhabited islet just off the extreme southeastern tip of the island of São Jorge in the Portuguese...
classifying topos for some sort of structure is a topos T such that there is a natural equivalence between geometric morphisms from a cocomplete topos E to T...
El Topo (Spanish: [el ˈto.po], "The Mole") is a 1970 Mexican acid Western film written, scored, directed by and starring Alejandro Jodorowsky. Characterized...
Topo Gigio (Italian pronunciation: [ˈtɔːpo ˈdʒiːdʒo]) is a fictional anthropomorphic mouse, originally the lead character of a children's puppet show on...
to what is now called a Grothendieck topos. The theory was rounded out by establishing that a Grothendieck topos was a category of sheaves, where now...
Topoisomerase-based cloning (TOPO cloning) is a molecular biology technique in which DNA fragments are cloned into specific vectors without the requirement...
In mathematics, a coherent topos is a topos generated by a collection of quasi-compact quasi-separated objects closed under finite products. spectral space...
The Magic World of Topo Gigio (Italian: Le avventure di topo Gigio) is a 1961 Italian family puppets film directed by Federico Caldura. It is also known...
Complex of Topo (Portuguese: Complexo Vulcânico do Topo) is a complex of scoria cones and volcanic structures, located near the village Topo in the southeastern...
(2016) ISBN 978-3-319-47334-5. The Topos of Music, 2nd ed. Vol. I: Theory. Springer (2017) ISBN 978-3-319-64364-9. The Topos of Music, 2nd ed. Vol. II: Performance...
TopoQuest is a free web mapping service built on open source software that provides internet-based topographic map for most of the United States. The site...
In mathematics, infinitesimal cohomology is a cohomology theory for algebraic varieties introduced by Grothendieck (1966). In characteristic 0 it is essentially...
the notion of topos already glimpsed by Alexander Grothendieck. Caramello organized international conferences in topos theory, "Topos à l'IHES" (2015)...
Mary Hackett "Topo" Swope (born February 14, 1949) is an American actress and talent agent. She is the daughter of actress Dorothy McGuire and still photographer...
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