(a) What is the subspace topology R on Y induced by T? (b) List all of the R-closed subsets of Y. (c) For each R-closed subset A of Y, find a T-closed subset B of X such that A = Y n B.

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Chapter4: Vector Spaces
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I have the subspace topology I am confused on part b and c specifically.

(a) What is the subspace topology R on Y induced by T?
(b) List all of the R-closed subsets of Y.
(c) For each R-closed subset A of Y, find a T-closed subset B of X such
IT
that A = Y n B.
Transcribed Image Text:(a) What is the subspace topology R on Y induced by T? (b) List all of the R-closed subsets of Y. (c) For each R-closed subset A of Y, find a T-closed subset B of X such IT that A = Y n B.
Let X = {a,b, c, d, e, f} and T = {0, X, {a, c, f}, {b, d, e, f}, {f}}. (This is
the topology from Exercise 8 in Section 2.2.) Let Y = {a, b, c, f}.
%3D
%3D
Transcribed Image Text:Let X = {a,b, c, d, e, f} and T = {0, X, {a, c, f}, {b, d, e, f}, {f}}. (This is the topology from Exercise 8 in Section 2.2.) Let Y = {a, b, c, f}. %3D %3D
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