Suppose A is a subset of a metric space (X,d).
Given: bd(A)=cl(A) ∩ cl(X\A)
Given: bd(A)=cl(A) \int(A)
Show that these are equivalent. That is, show A(subset)X, then
cl(A)∩ cl(X\A)=cl(A)\ int(A).

Note: int(A) stands for interior point of A
cl(A) stands for closure
bd(A) stands for boundary

Question

Suppose A is a subset of a metric space (X,d). 
Given:   bd(A)=cl(A) ∩ cl(X\A)
Given:  bd(A)=cl(A) \int(A)
Show that these are equivalent. That is, show A(subset)X, then
cl(A)∩ cl(X\A)=cl(A)\ int(A).

Note: int(A) stands for interior point of A
cl(A) stands for closure
bd(A) stands for boundary

anonymous · Answer

can youo help me again? please you explained it better then the others

anonymous · Answer

yes but is the problem i hope i can help

anonymous · Answer

what is the math problem you need help with.