Is not closed set in X x X. Then the space X is: (a) Hausdorff Space (b) Not Hausdorff Space (c) T1-space (e) Not T1-space

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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(3) Let (X,r)be a topological space. If for every set of the form X x X - {(x, x): x E X}
Is not closed set in X x X. Then the space X is:
(a) Hausdorff Space
(b) Not Hausdorff Space
(c) T1-space
(e) Not T1-space
Transcribed Image Text:(3) Let (X,r)be a topological space. If for every set of the form X x X - {(x, x): x E X} Is not closed set in X x X. Then the space X is: (a) Hausdorff Space (b) Not Hausdorff Space (c) T1-space (e) Not T1-space
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