Dyadic space
From HandWiki
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]
References
- ↑ 1.0 1.1 Hazewinkel, Michiel, ed. (2001), "Dyadic compactum", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Dyadic_compactum
- ↑ Hazewinkel, Michiel, ed. (2001), "Dyadic space", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Dyadic_space
- ↑ Engelking, Ryszard (1977). General Topology. Monografie Matematyczne. 60. Warsaw: PWN. p. 231.
- ↑ 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.
- ↑ 5.0 5.1 Hart, Klaas Pieter; Nagata, Jun-iti; Vaughan, Jerry E. (2003). Encyclopedia of General Topology. Elsevier Science. pp. 13,193. ISBN 978-0444503558.
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