Dyadic space

In mathematics, a dyadic compactum is a Hausdorff topological space that is the image of a product of discrete two-point sets,[1] and a dyadic space is a topological space isomorphic to a subspace of a dyadic compactum.[2] Diadic compacta and spaces satisfy the Suslin condition, and were introduced by Russian mathematician Pavel Alexandrov.[1] Polyadic spaces are generalisation of dyadic spaces.[3]

References

  1. ↑ 1.0 1.1 Efimov, B.A. (2001), "Dyadic compactum", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4
  2. ↑ Efimov, B.A. (2001), "Dyadic space", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4
  3. ↑ Hart, Klaas Pieter; Nagata, Jun-iti; Vaughan, Jerry E. (2003). Encyclopedia of General Topology. Elsevier Science. p. 193. ISBN 978-0444503558.