In linguistics, an empty category, which may also be referred to as a covert category, is an element in the study of syntax that does not have any phonological...
33 KB (4,577 words) - 10:22, 15 August 2024
In linguistics, the empty category principle (ECP) was proposed in Noam Chomsky's syntactic framework of government and binding theory. The ECP is supposed...
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categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms. The initial object of Cat is the empty category...
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category with n objects. An empty product is then given by the limit with respect to the empty category, which is the terminal object of the category...
10 KB (1,469 words) - 11:44, 24 October 2024
category J is connected if each functor from J to a discrete category is constant. In some cases it is convenient to not consider the empty category to...
2 KB (255 words) - 18:33, 15 February 2024
linguistics, a grammatical category or grammatical feature is a property of items within the grammar of a language. Within each category there are two or more...
7 KB (938 words) - 04:08, 17 October 2024
is the empty category there is only one diagram of shape J: the empty one (similar to the empty function in set theory). A cone to the empty diagram...
28 KB (4,352 words) - 03:41, 22 March 2024
{\displaystyle A,} the empty function. As a result, the empty set is the unique initial object of the category of sets and functions. The empty set can be turned...
15 KB (2,183 words) - 19:22, 16 October 2024
mathematics, the simplex category (or simplicial category or nonempty finite ordinal category) is the category of non-empty finite ordinals and order-preserving...
4 KB (515 words) - 14:51, 15 January 2023
Initial and terminal objects (redirect from Pointed category)
category of topological spaces and every one-point space is a terminal object in this category. In the category Rel of sets and relations, the empty set...
11 KB (1,336 words) - 16:25, 21 January 2024
fairly recent and still ongoing. Dependency grammar Empty category Grammatical category Lexical category (part of speech) Merge (linguistics) Phrase Phrase...
12 KB (1,508 words) - 21:33, 23 April 2024
mass of empty vehicle not exceeding 350 kg) Category LC: motorcycles (two-wheeled, with one or more parameters exceeding the LA category) Category LD: motorcycles...
22 KB (2,153 words) - 18:54, 14 October 2024
In the mathematical field of category theory, the category of sets, denoted as Set, is the category whose objects are sets. The arrows or morphisms between...
9 KB (1,172 words) - 14:28, 4 July 2024
Baire space (redirect from Baire category theory)
if countable unions of closed sets with empty interior also have empty interior. According to the Baire category theorem, compact Hausdorff spaces and complete...
13 KB (1,787 words) - 06:50, 20 November 2024
Category 0 can refer to: Empty category 0, the category of no objects and no morphisms, is the initial object of the category of small categories is the...
1 KB (166 words) - 19:08, 10 January 2022
enriched over the monoidal category of abelian groups. In a preadditive category, every finitary product (including the empty product, i.e., a final object)...
14 KB (1,496 words) - 11:47, 26 March 2024
objects have in common, such as the empty set or the product of two topologies, yet in the definition of a category, objects are considered atomic, i.e...
34 KB (3,829 words) - 10:16, 20 November 2024
Normal morphism (redirect from Normal category)
well-behaved type of morphism. A normal category is a category in which every monomorphism is normal. A conormal category is one in which every epimorphism...
2 KB (280 words) - 15:46, 13 February 2022
1.2.6, it is required that an additive category have a zero object (empty biproduct). An additive category is preabelian if every morphism has both...
19 KB (2,643 words) - 03:45, 26 March 2024
In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ('arrows') called 'weak equivalences'...
18 KB (2,402 words) - 15:12, 12 October 2024
In mathematics, a monoidal category (or tensor category) is a category C {\displaystyle \mathbf {C} } equipped with a bifunctor ⊗ : C × C → C {\displaystyle...
18 KB (2,431 words) - 16:33, 30 September 2024
out the empty semigroup as a monoid. In category theory, the empty semigroup is always admitted. It is the unique initial object of the category of semigroups...
2 KB (294 words) - 22:20, 1 November 2022
Coproduct (redirect from Coproduct (category theory))
In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces...
12 KB (2,129 words) - 00:42, 19 June 2024
In category theory, a category is Cartesian closed if, roughly speaking, any morphism defined on a product of two objects can be naturally identified...
18 KB (2,609 words) - 16:55, 20 November 2024
Empty Nest is an American television sitcom that aired for seven seasons on NBC from October 8, 1988, to June 17, 1995. The series, which was created...
18 KB (1,833 words) - 10:19, 5 November 2024
game of Go, the empty triangle is the most fundamental example of the concept of bad shape. Three stones of one color form an empty triangle when they...
3 KB (321 words) - 00:00, 23 July 2023
The Empty Fort Strategy involves using reverse psychology to deceive the enemy into thinking that an empty location is full of traps and ambushes, and...
27 KB (4,670 words) - 14:48, 16 July 2024
Politics category Blank piece of paper "The Unsuccessful Self-Treatment of a Case of 'Writer's Block'" Kean, Danuta (18 April 2017). "Empty satire: the...
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not an isomorphism; this example shows that Met is not a balanced category. The empty metric space is the initial object of Met; any singleton metric space...
5 KB (582 words) - 07:50, 15 October 2024
Null graph (redirect from Empty tree)
alternatively, to any edgeless graph (the latter is sometimes called an "empty graph"). The order-zero graph, K0, is the unique graph having no vertices...
5 KB (516 words) - 07:27, 6 March 2024