Differential Geometry | Topology Answers

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

Prove that every first countable space is second countable

Determine all topologies on a set X ={a,b,c}

Prove that a function f from a metric space X to a metric space Y is continuous if and only if the inverse image of any open subset of Y is open in X