Let X and Y be two topological spaces. X is connected and Y is disconnected are they homotopy equivalent? *

Q: 2. (a) Use axiom (2) in the definition of a topology to show that if {U1,U2, . ,Un} is a finite…

A: It is given in part (a) that (X,t) be any topological space, and the interval (x-A,x+A) is only open…

Q: 2) let X and y be metric spaces and T. XY Y a ContinUOus mapping Then the image of a Compact subset…

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Q: Q6) Find a topological space and a compact subset whose closure is not compact. Note hat a space is…

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Q: 2. Construct two metric spaces X and Y which are homeomorphic, but X is complete and Y is not…

A: 2. Construct two metric spaces  and  which are homeomorphic, but  is complete and  is not complete.

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A: Topology question.

Q: Theorem 2.15. Let (X,T) be a topological space, and let U be an open set and A a closed subset of X.…

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