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Summary

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

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

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