Complex sentence: It is often useful in the study and understanding of abstracts such as topological spaces to determine that one property does not follow from another, one of the easiest ways of doing this is to find a counterexample which exhibits one property but not the other.
Split into simpler sentences: It is often useful in the study and understanding of abstracts such as topological spaces to determine that one property does not follow from another. One of the easiest ways of doing this is to find a counterexample which exhibits one property but not the other.