Math 2.0

concept

Basis of a topology

Summary

A basis of a topology is a family of open sets such that every open set is a union of members of the family. A basis lets you describe a topology by a small set of simple open sets, such as open intervals or open balls.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

  1. Web https://en.wikipedia.org/wiki/Base_(topology), lead section