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 Apr 19 revised Regular closed sets in a subspace of a topological space deleted 2 characters in body Apr 19 asked Regular closed sets in a subspace of a topological space Feb 11 asked An intuition connected with Heyting implication Jan 13 revised Compactness related property of topological spaces added 423 characters in body Jan 12 comment Compactness related property of topological spaces I've added motivation from my question. Jan 12 revised Compactness related property of topological spaces added 632 characters in body Jan 12 asked Compactness related property of topological spaces Jan 12 accepted T3 space which does not satisfy certain condition Jan 11 revised T3 space which does not satisfy certain condition edited body Jan 11 revised T3 space which does not satisfy certain condition deleted 2 characters in body Jan 10 asked T3 space which does not satisfy certain condition Dec 14 comment Triangles in spherical/elliptical geometry Well, this is the point I presume :). Since the complement of the intersection of three hemi-spheres is not an intersection of any three hemi-spheres (or at least I suppose it cannot be). Dec 14 comment Triangles in spherical/elliptical geometry The difference is that in the Euclidean space the complement of a triangle is unbounded. Dec 14 asked Triangles in spherical/elliptical geometry Nov 10 comment Functional separation of regular open sets of a topological space Could you please develop slightly 2nd point? I am not sure if I understand it properly. Nov 8 accepted Functional separation of regular open sets of a topological space Nov 8 awarded Yearling Nov 8 awarded Critic Nov 8 comment Functional separation of regular open sets of a topological space Yes, it is the standard topological closure. Nov 8 comment Functional separation of regular open sets of a topological space If $x\in-(C\cdot D)$, then $x\in(-C+-D)$ from which you cannot infer that $x\in-C$ or $x\in-D$. To be more precise, if $x\in-(C\cdot D)$, then $x\in\mathrm{Cl}(-C)$ or $x\in\mathrm{Cl}(-D)$, yet the sets I consider are not closed in general. Or am I missing something?