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  2. Cover (topology) - Wikipedia

    en.wikipedia.org/wiki/Cover_(topology)

    A topological space X is said to be of covering dimension n if every open cover of X has a point-finite open refinement such that no point of X is included in more than n+1 sets in the refinement and if n is the minimum value for which this is true. [3] If no such minimal n exists, the space is said to be of infinite covering dimension.