Let (X,T) and (Y,T1) be two topological spaces and let f be a continuous mapping of X into Y. * O None of the choices If (Y,T1) is a Hausdorff space, then (X,T) is a Hausdorff space If f is onto and (Y,T1) is a T1-space, then (X,T) is a T1-space If f is one to one and (Y,T1) is a T1- space, then (X,T) is a T1-space

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Q: d T = {0, {a}, {a, b}, {c,d}, {a, c, d}, {a,b, c, d}, X}. (1) Is this space To? Why or why not? (2)…

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Q: Let S = { (0,0), (0,3), (1,0), (1,2), (2,0), (3,2) } Find S', the transitive closure of S

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Q: (a) A¹\{1} (b) V(x+x) CA² (c) V(x2-x7,x3-x})\{0} CA³

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Q: How do i prove 8.10? Could you include step by step explanation?

A: Consider the equation