Recent content by hhqqvn89

  1. H

    Prove a set is closed and bounded but not compact in metric space

    Homework Statement Let X be the integers with metric p(m,n)=1, except that p(n,n)=0. Show X is closed and bounded but not compact. Homework Equations I already check the metric requirement. The Attempt at a Solution I still haven't got any clue yet. Can anyone help me out?