Let X={[1 2 3 4], [3 2 1 7], [9 8 2 1]} (something like this). Can we frame a topology for this X to obtain a topological space?? If so, how do we define union and intersection for arrays?
Gianluca Argentini
Dear V., you can if unions and intersections of subsets of X belong to the possible topology, which is a collection of X subsets. For example, if you define Union([1 2 3 4], [3 2 1 7]) = [1 2 3 4 7], than you can not have a topology because [1 2 3 4 7] is not a subset of X. Perhaps X is too poor. You should try to define union and intersection on a sufficiently rich set X.
Gianluca
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William Obeng-Denteh
You need to pitch them against the axioms of a topological space.
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