5-polytope and Homology (mathematics)

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

Difference between 5-polytope and Homology (mathematics)

5-polytope vs. Homology (mathematics)

In five-dimensional geometry, a five-dimensional polytope or 5-polytope is a 5-dimensional polytope, bounded by (4-polytope) facets. In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.

Similarities between 5-polytope and Homology (mathematics)

5-polytope and Homology (mathematics) have 5 things in common (in Unionpedia): Betti number, Cartesian product, Euclidean space, Euler characteristic, Vertex (geometry).

Betti number

In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of n-dimensional simplicial complexes.

5-polytope and Betti number · Betti number and Homology (mathematics) · See more »

Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

5-polytope and Cartesian product · Cartesian product and Homology (mathematics) · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

5-polytope and Euclidean space · Euclidean space and Homology (mathematics) · See more »

Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

5-polytope and Euler characteristic · Euler characteristic and Homology (mathematics) · See more »

Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

5-polytope and Vertex (geometry) · Homology (mathematics) and Vertex (geometry) · See more »

The list above answers the following questions

What 5-polytope and Homology (mathematics) have in common
What are the similarities between 5-polytope and Homology (mathematics)

5-polytope and Homology (mathematics) Comparison

5-polytope has 50 relations, while Homology (mathematics) has 131. As they have in common 5, the Jaccard index is 2.76% = 5 / (50 + 131).

References

This article shows the relationship between 5-polytope and Homology (mathematics). To access each article from which the information was extracted, please visit:

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