In category theory in mathematics, the join of categories is an operation making the category of small categories into a monoidal category. In particular...

lattice theory Join (topology), an operation combining two topological spaces Join (category theory), an operation combining two categories Join (simplicial...

In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas...

In mathematics, specifically order theory, the join of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the supremum (least...

In category theory, a discipline within mathematics, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms...

In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite...

but the common attribute DeptName. In category theory, the join is precisely the fiber product. The natural join is arguably one of the most important...

In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces...

In category theory, a branch of mathematics, a monoid (or monoid object, or internal monoid, or algebra) (M, μ, η) in a monoidal category (C, ⊗, I) is...

In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of...

knowledge of category theory. In various situations, free semilattices exist. For example, the forgetful functor from the category of join-semilattices...

the sense used in category theory, but not in the sense used by Hausmann and Ore. Nevertheless, influential books in semigroup theory, including Clifford...

therefore important for lattice theory. Details can be found in the respective entries. Join and meet – Concept in order theory Map of lattices – Concept in...

In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains...

the category. In the language of category theory, one says that there is a forgetful functor from the category of small categories to the category of quivers...

algebraic structures. The general theory of algebraic structures has been formalized in universal algebra. Category theory is another formalization that includes...

theory: a representation V of a quiver assigns a vector space V(x) to each vertex x of the quiver and a linear map V(a) to each arrow a. In category theory...

Favorite Comedic TV Actor. On January 20, 2016, The Big Bang Theory also won the International category at the UK's National Television Awards. On March 16, 2014...

between orders become functors between categories. Many ideas of order theory are just concepts of category theory in small. For example, an infimum is...

notion of a category has led to important mathematical insights in the fields of algebraic and symplectic geometry and representation theory. Prior to 1995...

joins. He called such lattices "local lattices"; today they are called "frames" to avoid ambiguity with other notions in lattice theory. The theory of...

A conspiracy theory is an explanation for an event or situation that asserts the existence of a conspiracy (generally by powerful sinister groups, often...

theory can be considered analogous to knot theory except, instead of closed loops, strings whose ends are nailed down are used. See also braid theory...

The chemtrail conspiracy theory /ˈkɛmtreɪl/ is the erroneous belief that long-lasting condensation trails left in the sky by high-flying aircraft are actually...

generally, in category theory, the morphisms of an object to itself form a monoid, and, conversely, a monoid may be viewed as a category with a single...

theories; the use of type theory as a logic (or internal language) for abstract homotopy theory and higher category theory; the development of mathematics...

Jurassic World: Chaos Theory is an American science fiction action-adventure animated television series on Netflix and is the second television series...

In category theory, two categories C and D are isomorphic if there exist functors F : C → D and G : D → C that are mutually inverse to each other, i.e...

Logical paradox in decision-making theory The Political Compass – Political self-test Unity of opposites – Central category of dialectics All pages with titles...

Higher Categories and Homotopical Algebra is a mathematical textbook about higher category theory by Denis-Charles Cisinksi. It focuses on the theories of...