On Minimal Door, Minimal Anti-compact and Minimal


We prove that a topological space (X, τ) is a minimal door space if and only if either (i) it is a hyperconnected door space or (ii) τ is an excluded point topology; our proof makes use of Steiner’s characterisation of door spaces in terms of ultraspaces. We show that minimal door spaces are precisely the connected door spaces and that door… (More)


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