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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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f and g are not continuous
Let X = {a, b, c, d, e} and let T = {X, Ø, {a}, {c,d}, {a,c,d}, {b,c,d,e} }, then
O (X,T) is Hausdorff and connected
O (X,T) is not connected but it is Hausdorff
O (X, T) is not Hausdorff but it is connected
(X, T) is neither Hausdorff nor connected
Transcribed Image Text:f and g are not continuous Let X = {a, b, c, d, e} and let T = {X, Ø, {a}, {c,d}, {a,c,d}, {b,c,d,e} }, then O (X,T) is Hausdorff and connected O (X,T) is not connected but it is Hausdorff O (X, T) is not Hausdorff but it is connected (X, T) is neither Hausdorff nor connected
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