File:Refinement on a planar shape.png

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Summary[edit]

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.

Licensing[edit]

This work has been released into the public domain by its author, Sigmundur. This applies worldwide. In some countries this may not be legally possible; if so: Sigmundur grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log[edit]

Transferred from en.wikipedia to Commons using For the Common Good.