Recent content by edwinbrody

So, for instance in this example, If I take the space bounded by a circle of radius 2 centered on the origin, and the square bounded by x from [0,1] and y from [0,1] as the subset within it, the subset is closed and bounded, but because of incompleteness of the rationals this subset is not compact?

Is there an interval or set that is neither closed nor open? I know if for example the rationals are being considered, they are neither closed nor open, and because of this fact, the rationals are not compact.

Homework Statement Find a metric space and a closed, bounded subset in it which is not compact. Homework Equations N/A The Attempt at a Solution I know that a metric space is a space that has definition such that a point has a distance to any other point. However, I know a...