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 minimal limit elements of a subdomain D of $\{0,1,\perp\}\omega$. In particular, if X is compact, then X is a retract of the set of limit elements of D.

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