Mathematics Homework Solutions
Problem
#32417

Topology : Subspace

Suppose (X,T) is a topological space.  Let Y be non-empty subset of X.  The the set J={intersection(Y,U) : U is in T} is called the subspace toplogy on Y.  Prove that J indeed a toplogy on Y i.e., (Y,J) is a topological space.


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Topological subspaces are investigated. The solution is detailed and well presented.

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