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Let A be a collection of sets, then We defined A’ = Union of all elements...

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Advance Math

Let A be a collection of sets,then We defined A’ = Union of all elements of A.

Definition: If A = NOT the unionof C and D , where C and D are non empty sub-collection,
such that C’ intersect D’ =empty
Then A is coherent.

Prove: if A is coherent then A’is connected (i.e A’ is not the union of two separated sets instandard topology)

Answer & Explanation Solved by verified expert
3.6 Ratings (477 Votes)
Consider the contrapositive statement if A is disconnectedthen A is not coherent It is enough to prove this contrapositivestatement for our    See Answer
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