Abstract:In their attempt to develop domain theory in situ T 0 spaces, Zhao and Ho introduced a new topology defined by irreducible sets of a resident topological space, called the SI-topology. Notably, the SI-topology of the Alexandroff topology of posets is exactly the Scott topology, and so the SI-topology can be seen as a generalisation of the Scott topology in the context of general T 0 spaces. It is well known that the convergence structure that induces the Scott topology is the Scott-convergence-also known as li… Show more
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