Let X = {a, b, c, d,e} and let T = {X, ø, {a}, {a,d}, {a,e}}, then * %3D (X, T) is not Hausdorff but it is connected O (X,T) is Hausdorff and connected (X, T) is neither Hausdorff nor connected (X,T) is not connected but it is Hausdorff

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 5EQ
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Let X = {a, b, c, d,e} and let T = { X, ø,
%3D
{a}, {a,d}, {a,e}}, then
(X, T) is not Hausdorff but it is
connected
O (X,T) is Hausdorff and connected
(X, T) is neither Hausdorff nor
connected
(X,T) is not connected but it is
Hausdorff
Transcribed Image Text:Let X = {a, b, c, d,e} and let T = { X, ø, %3D {a}, {a,d}, {a,e}}, then (X, T) is not Hausdorff but it is connected O (X,T) is Hausdorff and connected (X, T) is neither Hausdorff nor connected (X,T) is not connected but it is Hausdorff
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