Tag Archives: clopen sets

Topology: Subspaces

First, suppose (X, d) is a metric space. If Y is a subset of X, then one can restrict the metric to , i.e. for any , we set d’(y, y’) := d(y, y’). It’s not hard to show that the resulting function is a metric on Y. … Continue reading

Posted in Notes | Tagged , , , , , , , | Leave a comment