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Meta
Tag Archives: dcpo
Posets determined by countably many core-compact subspaces
Let me return to a topic that I have addressed a few times in recent posts: under which conditions does the Scott topology of the product of two posets coincide with the product topology of the Scott topologies? We have … Continue reading
Posted in Uncategorized
Tagged colimit, dcpo, product
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Dcpos built as graphs of functions
Let X and P be two dcpos, and let ψ be a map from X to P. When is the graph of ψ a dcpo? I will give you a funny sufficient condition, which involves the so-called d-topology, and Hausdorffness. … Continue reading
Posted in Uncategorized
Tagged d-topology, dcpo, domain-complete, quasi-polish space
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Quotients, colimits of dcpos, and related matters
How do we build colimits in the category Top of topological spaces? This is easy: we take the quotient of a big disjoint sum. How do we build colimits in the category Dcpo of dcpos? This is a much more … Continue reading
Posted in Uncategorized
Tagged dcpo, quotient
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