Dyadic space

For another use, see Dyadic space (cell biology).

In mathematics, a dyadic compactum is a Hausdorff topological space that is the continuous image of a product of discrete two-point spaces,^[1] and a dyadic space is a topological space with a compactification which is a dyadic compactum.^[2] However, many authors use the term dyadic space with the same meaning as dyadic compactum above.^[3][4][5]

Dyadic compacta and spaces satisfy the Suslin condition, and were introduced by Russian mathematician Pavel Alexandrov.^[1] Polyadic spaces are generalisation of dyadic spaces.^[5]