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Locally finite

Index Locally finite

The term locally finite has a number of different meanings in mathematics. [1]

Table of Contents

  1. 7 relations: Locally finite collection, Locally finite group, Locally finite measure, Locally finite operator, Locally finite poset, Locally finite space, Locally finite variety.

Locally finite collection

A collection of subsets of a topological space X is said to be locally finite if each point in the space has a neighbourhood that intersects only finitely many of the sets in the collection.

See Locally finite and Locally finite collection

Locally finite group

In mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group.

See Locally finite and Locally finite group

Locally finite measure

In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure.

See Locally finite and Locally finite measure

Locally finite operator

In mathematics, a linear operator f: V\to V is called locally finite if the space V is the union of a family of finite-dimensional f-invariant subspaces.

See Locally finite and Locally finite operator

Locally finite poset

In mathematics, a locally finite poset is a partially ordered set P such that for all x, y ∈ P, the interval consists of finitely many elements.

See Locally finite and Locally finite poset

Locally finite space

In the mathematical field of topology, a locally finite space is a topological space in which every point has a finite neighborhood, that is, an open neighborhood consisting of finitely many elements.

See Locally finite and Locally finite space

Locally finite variety

In universal algebra, a variety of algebras means the class of all algebraic structures of a given signature satisfying a given set of identities.

See Locally finite and Locally finite variety

References

[1] https://en.wikipedia.org/wiki/Locally_finite

Also known as Local finiteness, Locally finite (disambiguation).