Topological space-subspace
Assignment:
Let X be a topological space and let Y be a subset of X. Check that the so-called subspace topology is indeed a topology on Y.
Provide complete and step by step solution for the question and show calculations and use formulas.
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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.
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