Give an example of a metric space which is not compact
Prove or disprove : A continuous bijection is a homeomorphism
Give an example of a first countable space which is not second countable ,substantiate your claim
Establish a.necessary and sufficient condition for a.family of subsets of a set X to be a.Q base for a topology on X
Determine the boundary of the set Q of all the rational numbers in the real.line R
Prove that any two open intervals of the real.line are homeomorphic
Determine the boundary of the set Q of all rational numbers in the real.line.R
Prove that composition of continuous functions from topological spaces to topological spaces is continuous