Nerve (category theory) and Real projective space

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

Difference between Nerve (category theory) and Real projective space

Nerve (category theory) vs. Real projective space

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. In mathematics, real projective space, or RPn or \mathbb_n(\mathbb), is the topological space of lines passing through the origin 0 in Rn+1.

Similarities between Nerve (category theory) and Real projective space

Nerve (category theory) and Real projective space have 2 things in common (in Unionpedia): CW complex, Topological space.

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 Nerve (category theory) · CW complex and Real projective space · 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.

Nerve (category theory) and Topological space · Real projective space and Topological space · See more »

The list above answers the following questions

What Nerve (category theory) and Real projective space have in common
What are the similarities between Nerve (category theory) and Real projective space

Nerve (category theory) and Real projective space Comparison

Nerve (category theory) has 17 relations, while Real projective space has 49. As they have in common 2, the Jaccard index is 3.03% = 2 / (17 + 49).

References

This article shows the relationship between Nerve (category theory) and Real projective space. To access each article from which the information was extracted, please visit:

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