Twisted diagonal may refer to: Twisted diagonal (category theory) Twisted diagonal (simplicial sets) This disambiguation page lists articles associated...

the twisted diagonal of a simplicial set (for ∞-categories also called the twisted arrow ∞-category) is a construction, which generalizes the twisted diagonal...

In mathematics, especially in homotopy theory, a left fibration of simplicial sets is a map that has the right lifting property with respect to the horn...

construct another simplicial set. It is closely related to the diamond operation and used in the construction of the twisted diagonal. Under the nerve...

simplicial sets and used in an alternative construction of the twisted diagonal. For simplicial set X {\displaystyle X} and Y {\displaystyle Y} , their diamond...

covariant in the second entry. It can be generalized to the twisted diagonal of a simplicial set to which it corresponds under the nerve construction. For...

and the fundamental groupoid of a simplicial set Animations to introduce fundamental group by Nicolas Delanoue Sets of base points and fundamental groupoids:...

category of twisted arrows in C. The opposite of it is known as the twisted diagonal of C. Let X : I → Set {\displaystyle X:I\to {\textbf {Set}}} be a functor...

\rightarrow } Ui. Let Y be the abstract simplicial complex given by the nerve of the covering: its vertices are the sets of the cover and its n-simplices correspond...

into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh...

√1 apart. The √3.𝚽 chords (the diagonals of the pentagons) form the legs of 720 central isosceles triangles (144 sets of 5 inscribed in each pentagon)...

are a set of hyperplanes in R n {\displaystyle \mathbb {R} ^{n}} through the origin and choices of normal vectors such that for every simplicial chamber...

properly discontinuously and cocompactly on a contractible 2-dimensional simplicial complex with the same graph theoretic conditions placed on the link at...

certain well known elements, called Hopf elements. If X is any finite simplicial complex with finite fundamental group, in particular if X is a sphere...

constructing homology could be shown to coincide: for example in the case of a simplicial complex the groups defined directly would be isomorphic to those of the...

fourth dimension)." Tyrrell & Semple 1971. Coxeter 1973, p. 130, § 7.6; "simplicial subdivision". Coxeter 1973, pp. 292–293, Table I(ii); "16-cell, 𝛽4"....

building X of G plays the role of the symmetric space. Namely, X is a simplicial complex with an action of G(k), and G(k) preserves a CAT(0) metric on...

theorem (set theory, cardinal numbers) Cantor's theorem (set theory, Cantor's diagonal argument) Church–Rosser theorem (lambda calculus) Compactness...

simply connected region between any three mutually tangent convex sets Simplicial complex — all vertices, line segments, triangles, tetrahedra, ...,...