What is the meaning of, " a metric space is compact" ? I know the formal definition but i don't really understand it's true meaning, what is the concept behind compactness ? I seems like a lot of ...
I've read many times that 'compactness' is such an extremely important and useful concept, though it's still not very apparent why. The only theorems I've seen concerning it are the Heine-Borel ...
I've read up on compactness in a metric space and have found a few definitions (let $X$ be a metric space and $E \subset X$ in all the following): $E$ is compact in $X$ if for every open covering of ...
How to understand the compactness in topology space in intuitive way?