Let (X,T) and (Y,T1) be two topological spaces and let f be a continuous mapping of X into Y. * O Iff is onto and (Y,T1) is a Hausdorff space, then (X,T) is a Hausdorff space O None of the choices If f is one to one and (Y,T1) Is a Hausdorff space, then (X,T) is a Hausdorff space O f (Y,T1) is a T1 space, then (X,T) is a T1 space

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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Let (X,T) and (Y,T1) be two topological spaces and let f be a continuous
mapping of X into Y. *
O Iff is onto and (Y,T1) is a Hausdorff space, then (X,T) is a Hausdorff space
O None of the choices
Iff is one to one and (Y,T1) is a Hausdorff space, then (X, T) is a Hausdorff space
O HYT1) is a T1 space, then (X,T) is a T1 sp ace
Transcribed Image Text:Let (X,T) and (Y,T1) be two topological spaces and let f be a continuous mapping of X into Y. * O Iff is onto and (Y,T1) is a Hausdorff space, then (X,T) is a Hausdorff space O None of the choices Iff is one to one and (Y,T1) is a Hausdorff space, then (X, T) is a Hausdorff space O HYT1) is a T1 space, then (X,T) is a T1 sp ace
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