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Prove that a countable product of connected space is connected
Given an example of a connected space which is not pathwise connected .substantiate. Your claim

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


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