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Tag Archives: Hoare hyperspace
On products of dcpos, the Miao-Xi-Li-Zhao lemma, and the complete lattice Lfan (part I)
The product of a poset P with itself can be given two topologies: the Scott topology of the product, or the product of the Scott topologies. Those two topologies differ in general, but they coincide when P is a continuous … Continue reading
Posted in Uncategorized
Tagged core-compactness, countability, first-countability, Hoare hyperspace, ideals, Scott topology
Comments Off on On products of dcpos, the Miao-Xi-Li-Zhao lemma, and the complete lattice Lfan (part I)
Compact semilattices without small semilattices I: interval homomorphisms, products, and the Hoare hyperspace
I have already talked about compact semilattices before, but there is a lot more to say, especially on the subject of having small semilattices or not. Zhenchao Lyu is joining me this month, and we will pursue this next month. … Continue reading
Posted in Uncategorized
Tagged compactness, continuous dcpo, Hoare hyperspace, powerdomain, semilattice, Urysohn
Comments Off on Compact semilattices without small semilattices I: interval homomorphisms, products, and the Hoare hyperspace