Concerning a Problem of K. Kuratowski
Type of DegreeThesis
Mathematics and Statistics
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Suppose (S,T) is a topological space and A is any subset of S. Then the functions f and g from the power set of S, P(S), into P(S) are defined as: f(A) is the closure of A and g(A) is the complement of A. In this thesis, our goal is proving that there are at most fourteen type of image from any subset of S by using finite compositions of the closure function f and the complement function g, including the null composition.