Below: Refinement of the cover so that no point on the line is contained in more than 2 sets.
Purpose: To illustrate the role of covers in the definition of topological dimension, figure 1 of 2.
Note: In both pictures, the parts of the black set that belong to several sets are drawn with a thicker line.
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This work has been released into the public domain by its author, Sigmundur. This applies worldwide.
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(Above: Cover (four colourful sets) of a circular line (black).
Below: Refinement of the cover so that no point on the line is contained in more than 2 sets.
Purpose: To illustrate the role of covers in the definition of topological dimension, figure 1 of )
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