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NOUN | el topo | los topos |

amarillo a topos {adj} | yellow polka-dot |

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Usage Examples English

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- Lawvere and Tierney therefore formulated axioms for a
**topos**that assumed a sub-object classifier, and some limit conditions (to make a cartesian-closed category, at least). - A category of sheaves on a site is called a "
**topos**" or a "Grothendieck topos". - He invented or developed a broad range of fundamental ideas in
**topos**theory. - corresponds to any subobject having a complement, in which case we call the
**topos**Boolean. - Precisely, in Lurie's "Higher
**Topos**Theory", an ∞-topos is defined as an ∞-category "X" such that there is a small ∞-category "C" and a left exact localization functor from the ∞-category of presheaves of spaces on "C" to "X". - If one replaces a "
**topos**" by an ∞-topos, then one gets the notion of a ringed ∞-topos. - Both examples above are subsumed by the following general fact: every elementary
**topos**, defined as a category with finite limits and power objects, necessarily has a subobject classifier. - Every Grothendieck
**topos**is an elementary topos, but the converse is not true (since every Grothendieck topos is cocomplete, which is not required from an elementary topos). - With this notion of morphism, the collection of all "G"-sets forms a category; this category is a Grothendieck
**topos**(in fact, assuming a classical metalogic, this topos will even be Boolean). - Fix a
**topos**[...] and let all algebras be algebras over it.

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