In mathematics, the effective topos introduced by Martin Hyland (1982) captures the mathematical idea of effectivity within the category theoretical framework.
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...
a topos together with the semantics of intuitionistic higher-order logic in a topos enables one to reason about the objects and morphisms of a topos as...
powerset is what would turn a Heyting pretopos into an elementary topos. Every such topos that interprets Z F {\displaystyle {\mathsf {ZF}}} is of course...
category from any finitely complete category. It is used to form the effectivetopos and other realizability toposes. Let C be a category with finite limits...
natural numbers object and subobject classifier, giving rise to the effectivetopos introduced by Martin Hyland. A Čech groupoidp. 5 is a special kind...
7908. Phoa, Wesley (1992). An introduction to fibrations, topos theory, the effectivetopos and modest sets (Technical report). LFCS, Department of Computer...
intuitionistic logic by Martin Hyland in 1982, who constructed the effectivetopos. In 2002, Steve Awodey, Lars Birkedal, and Dana Scott formulated a...
higher-dimensional algebra. In particular he is known for work on the effectivetopos (within topos theory) and on game semantics. His former doctoral students...
inventio when they begin the thought process of forming and developing an effective argument. Often, the invention phase can be seen as the first step in...
See also BHK interpretation and Dialectica interpretation. In the effectivetopos, already the finitely axiomizable subsystem of Heyting arithmetic with...
called Uchronia (French Uchronie). The neologism, using chronos instead of topos, has since been used to refer to non-existent idealized times in fiction...
topo-targeted drugs act in this way, i.e. they stabilize the enzyme-DNA covalent cleavage intermediate. Although type I topos, such as bacterial topo...
of sets and functions between the sets More generally, every elementary topos Grp, the category of groups and group homomorphisms The category of rings...
forms a category; this category is a Grothendieck topos (in fact, assuming a classical metalogic, this topos will even be Boolean). We can also consider actions...
TopoFlight is a three-dimensional flight planning software for photogrammetric flights. Originally conceived by a team of experts in the mapping industry...
judge's favor, with lavish praise of the judge's wisdom considered most effective by Guillaume Durand. In parallel, the techniques of the captatio benevolentiae...
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...
arguments. Category theorists have proposed topos theory as an alternative to traditional axiomatic set theory. Topos theory can interpret various alternatives...
since they were not sure that the then 14-year-old Susan could be an effective boxer on screen. The producer, after watching the movie, stopped the release...
his prolific goalscoring, Ronaldo also demonstrated his ability as an effective creator in this role. This unique role has been described by pundits as...
intellectual level nor very long. Relevance to participants' curriculum: An effective text has identifiable themes that are recognizable and pertinent to the...
set theory. Smooth infinitesimal analysis, which is developed in a smooth topos. Techniques from analysis are also found in other areas such as: The vast...
TopoTarget (Nasdaq Copenhagen: TOPO) was a Copenhagen-based biotechnology company focused on the discovery and development of drugs and therapies to treat...
Snyder's then-released film Rebel Moon (2023). He considered the acting effective in conveying the sensation of being underwater, and highlighted Arthur...
it as a true rock climbing ascent with Nelson saying: "Spectacular and effective though [it] was, this maneuver required very little real climbing". That...
Jennifer crying, creating a distorted sound that Lynch found particularly effective. Later describing what had inspired him, Lynch said, "Peggy's niece was...
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