Topology Problem Suppose (X, T ) is a topological space in which, for every closed subset A of X…



Suppose (X, T ) is a topological room in which, for perfect close subset A of X, there is a countable gathering {Gn (A) | n N } of known sets Gn (A) such that:
A= { Gn (A) | n N } = {cl(Gn (A)) | n N} and,if A C, then Gn (A) Gn (C).
If f:X Y where f is consecutive and onto and (Y, T1 ) is a topological room, then the room (Y, T2 ) satisfies the identical goods.
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Suppose (X, T ) is a topological room in which, for perfect close subset A of X, there is a countable gathering {Gn (A) | n N } of known sets Gn (A) such that: A= { Gn (A) | n N } = {cl(Gn (A)) | n N} and,if A C, then Gn (A) Gn (C). If f:X Y where f is consecutive and onto and (Y, T1 ) is a topological room, then the room (Y, T2 ) satisfies the identical goods. Suppose (X, T ) is a topological room in which, for perfect close subset A of X, there is a countable gathering {Gn (A) | n N } of known sets Gn (A) such that: A= { Gn (A) | n N } = {cl(Gn (A)) | n N} and,if A C, then Gn (A) Gn (C). If f:X Y where f is consecutive and onto and (Y, T1 ) is a topological room, then the room (Y, T2 ) satisfies the identical goods.

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