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arxiv: 1401.1393 · v5 · pith:BZWXDNZWnew · submitted 2014-01-07 · 🧮 math.GN · cs.LO

Domain Representations Induced by Dyadic Subbases

classification 🧮 math.GN cs.LO
keywords dyadicdomainelementsinducedlimitrepresentationssubbasescompact
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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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