N-skeleton and Simplicial set

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between N-skeleton and Simplicial set

N-skeleton vs. Simplicial set

In mathematics, particularly in algebraic topology, the of a topological space X presented as a simplicial complex (resp. CW complex) refers to the subspace Xn that is the union of the simplices of X (resp. cells of X) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the. In mathematics, a simplicial set is an object made up of "simplices" in a specific way.

Similarities between N-skeleton and Simplicial set

N-skeleton and Simplicial set have 6 things in common (in Unionpedia): Algebraic geometry, CW complex, Homotopical algebra, Mathematics, Nerve (category theory), Topological space.

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

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CW complex

In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory.

CW complex and N-skeleton · CW complex and Simplicial set · See more »

Homotopical algebra

In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra as well as possibly the abelian aspects as special cases.

Homotopical algebra and N-skeleton · Homotopical algebra and Simplicial set · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Nerve (category theory)

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 of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C. These closely related objects can provide information about some familiar and useful categories using algebraic topology, most often homotopy theory.

N-skeleton and Nerve (category theory) · Nerve (category theory) and Simplicial set · See more »

Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

N-skeleton and Topological space · Simplicial set and Topological space · See more »

The list above answers the following questions

What N-skeleton and Simplicial set have in common
What are the similarities between N-skeleton and Simplicial set

N-skeleton and Simplicial set Comparison

N-skeleton has 26 relations, while Simplicial set has 60. As they have in common 6, the Jaccard index is 6.98% = 6 / (26 + 60).

References

This article shows the relationship between N-skeleton and Simplicial set. To access each article from which the information was extracted, please visit:

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