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topology
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- show that empty set, X is an element of S intersection T in topologySketch a diagram such that the vertices of △ABC lie respectively on the sides of △XYZ so that AX, BY, CZ are concurrent.Let X={a, b, c, d, e} and let T={X, non zero, {a}, {a, d}, {a, e}, then (X, T) is neither Hausdorff nor connected?
- Prove that the first example is a topology and the second is not.are R is not connected if T is the indiscrete topology? Or if T is the trivial topology? Or if T is the finite closed topology?Show that close ball Y in a metfic space (X,d) is a closed set also show that if (X,d) is complete than (Y,d) is complete