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Meta
Tag Archives: product
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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When do products distribute over colimits in Top?
In a recent paper, Lawson and Xu give a new class of posets on which the Scott topology of the (poset) product of two posets coincides with the product topology (of each poset with its Scott topology). I will explain … Continue reading
Posted in Uncategorized
Tagged colimit, core-compactness, counterexample, filters, product
Comments Off on When do products distribute over colimits in Top?