Definition
The covering dimension of a topological space X is defined to be the minimum value of n, such that every finite open cover of X admits a finite open cover of X which refines in which no point is included in more than n+1 elements. If no such minimal n exists, the space is said to be of infinite covering dimension.
Read more about this topic: Lebesgue Covering Dimension
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—Ralph Waldo Emerson (1803–1882)
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