„Belső rész (topológia)” változatai közötti eltérés

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=== Interior point ===

If ''S'' is a subset of a [[Euclidean space]], then ''x'' is an interior point of ''S'' if there exists an [[open set]] centered at ''x'' which is contained in ''S''.

Note that these properties are also satisfied if "interior", "subset", "union", "contained in", "largest" and "open" are replaced by "closure", "superset", "intersection", "which contains", "smallest", and "closed", respectively. For more on this matter, see [[Interior (topology)#Interior operator|interior operator]] below.

 

 

*In any space, the interior of the empty set is the empty set.

Two shapes ''a'' and ''b'' are called ''interior-disjoint'' if the intersection of their interiors is empty. Interior-disjoint shapes may or may not intersect in their boundary.

 

 

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*{{PlanetMath|id=3123|title=Interior}}