Let (X, M, u) be a measure space wE

Q: Show that every metric space is an Hausdorff space.

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Q: Let X and Y be two compact spaces, show that X × Y is compact

A: It suffices if we show there is a collection of open sets that covers X×Y. Let U be an open cover of…

Q: This answer is incorrect, could you please attempt it again?

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Q: 10. a b C d a + 3b = c b+c+a=d

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Q: Let ||u|| = 2, ||v|| = 3, (u, v) = 2+i. Compute ||u+v||², ||u-v||², (u + v,u - iv), (u + 3iv, 4iu).

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Q: 1- In a metric space (X, d), if A and A2 are open subsets of X then A1 U A2 is open in X.

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Q: Suppose A is a closed, non-empty subset of a metric space (X, d) and p a point of X which is not in…

A: Given:  A is a closed and non-empty set of a metric space (X,d) and p∈X , p∉A. To Prove: inf{d(p,a)…

Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39