nLab dyadic space

A dyadic compactum is an image under a continuous map of some cartesian (that is Tihonov) product 2 K2^K of discrete 2-point topological spaces. A dyadic space is a topological space which is homeomorphic to a dense subspace of a dyadic compactum. The basic example is the Cantor set 2 ω2^\omega.

Related notions include Cantor cube, Cantor set

category: topology

Created on February 8, 2023 at 16:32:55. See the history of this page for a list of all contributions to it.