Explore BrainMass

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.

© BrainMass Inc. brainmass.com August 19, 2018, 2:54 pm ad1c9bdddf

Solution Summary

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