Keywords: Refinement on a planar shape.png en Above Cover four colourful sets of a planar shape dark 2010-10-30 own User Sigmundur Below left Refinement of the cover so that no point in the shape is contained in more than 3 sets Below right An attempt to refine the cover so that no point in the shape would be contained in more than 2 sets Notice how some set border intersection points cannot be covered Purpose To illustrate the role of covers in the definition of topological dimension figure 2 of 2 Sigmundur en Original upload log en wikipedia ftcg page en wikipedia Refinement_on_a_planar_shape png wikitable - 21 18 30 October 2010 311 × 432 16 073 bytes Sigmundur w en <nowiki> Above Cover four colourful sets of a planar shape dark Below left Refinement of the cover so that no point in the shape is contained in more than 3 sets Below right An attempt to refine the cover so that no point in the shape would be contained </nowiki> Topology |