Basis (mathematics): Difference between revisions
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imported>Richard Pinch (it seems to work better when I remove the subpages tag) |
imported>Richard Pinch (Added uniform base) |
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* A [[filter base]] is a collection of sets that generates a [[filter]]. | * A [[filter base]] is a collection of sets that generates a [[filter]]. | ||
* In [[algebraic geometry]], there exists the notion of a [[Gröbner basis]] of an [[ideal]]. | * In [[algebraic geometry]], there exists the notion of a [[Gröbner basis]] of an [[ideal]]. | ||
* A [[uniform base]] is a family of relations on a set that generates a [[uniform space]] structure. | |||
Revision as of 01:42, 2 December 2008
This is a disambiguation page for the different uses of the words base or basis in mathematics.
- A basis is a linearly independent spanning set in linear algebra.
- A basis (or base) for a topology is a system of open sets that generate the topology.
- A filter base is a collection of sets that generates a filter.
- In algebraic geometry, there exists the notion of a Gröbner basis of an ideal.
- A uniform base is a family of relations on a set that generates a uniform space structure.