- #1

tomboi03

- 77

- 0

I'm not sure how I'm suppose to show that if Y is a subspace of X, and A is a subset of Y, then the topology A inherits as a subspace of Y is the same as the topology it inherits as a subspace of X.

I know that a subspace is... T

_{y}= {Y[tex]\cap[/tex]U| U [tex]\in[/tex]T}

meaning that its open sets consist of all intersections of open sets of X with Y.

and that a subset is every element of A is also an element of B.

pretty much right? so how do i express this in terms of subset and subspace?