Article · Wikipedia archive · Last revised Jun 5, 2026

Dyadic space

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

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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.345

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

References

References

  1. Efimov, B.A. (2001) [1994], "Dyadic compactum", Encyclopedia of Mathematics, EMS Press
  2. Efimov, B.A. (2001) [1994], "Dyadic space", Encyclopedia of Mathematics, EMS Press
  3. Engelking, Ryszard (1977). General Topology. Monografie Matematyczne. Vol. 60. Warsaw: PWN. p. 231. Zbl 0373.54002.
  4. T. C. Przymusinski, Products of normal spaces, Ch. XVIII In K. Kunen and J.E. Vaughan (eds) Handbook of Set-Theoretic Topology. North-Holland, Amsterdam, 1984, p. 794.
  5. Hart, Klaas Pieter; Nagata, Jun-iti; Vaughan, Jerry E. (2003). Encyclopedia of General Topology. Elsevier Science. pp. 13, 193. ISBN 978-0444503558.