Basis (mathematics)

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.