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math.GN2014★ 3 cited
Domain Representations Induced by Dyadic Subbases
Hideki Tsuiki, Yasuyuki Tsukamoyo
We study domain representations induced by dyadic subbases and show that a proper dyadic subbase S of a second-countable regular space X induces an embedding of X in the set of min…
math.GN2013★ 2 cited
Every Separable Metrizable Space has a Proper Dyadic Subbase
Haruto Ohta, Hideki Tsuiki, Kohzo Yamada
The notions of a proper dyadic subbase and an independent subbase was introduced by H. Tsuiki to investigate in {0, 1, bot}-sequence codings of topological spaces. We show that eve…