Dyadic space
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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.[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
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- ^ 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.
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