Finite intersection property and Helly's theorem

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

Difference between Finite intersection property and Helly's theorem

Finite intersection property vs. Helly's theorem

In general topology, a branch of mathematics, a collection A of subsets of a set X is said to have the finite intersection property (FIP) if the intersection over any finite subcollection of A is nonempty. Helly's theorem is a basic result in discrete geometry on the intersection of convex sets.

Similarities between Finite intersection property and Helly's theorem

Finite intersection property and Helly's theorem have 2 things in common (in Unionpedia): Compact space, Intersection (set theory).

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

Compact space and Finite intersection property · Compact space and Helly's theorem · See more »

Intersection (set theory)

In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.

Finite intersection property and Intersection (set theory) · Helly's theorem and Intersection (set theory) · See more »

The list above answers the following questions

What Finite intersection property and Helly's theorem have in common
What are the similarities between Finite intersection property and Helly's theorem

Finite intersection property and Helly's theorem Comparison

Finite intersection property has 21 relations, while Helly's theorem has 19. As they have in common 2, the Jaccard index is 5.00% = 2 / (21 + 19).

References

This article shows the relationship between Finite intersection property and Helly's theorem. To access each article from which the information was extracted, please visit:

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