topological space
noun
                                
              
          
                                                      : a set with a collection of subsets satisfying the conditions that both the empty set and the set itself belong to the collection, the union of any number of the subsets is also an element of the collection, and the intersection of any finite number of the subsets is an element of the collection                                      
                
                    
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  Merriam-Webster unabridged




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