Let (X,T) and (Y,T1) be two topological spaces and let f be a continuous mapping of X into Y. * O None of the choices If (Y,T1) is a Hausdorff space, then (X,T) is a Hausdorff space If f is onto and (Y,T1) is a T1-space, then (X,T) is a T1-space If f is one to one and (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
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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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 None of the choices
If (Y,T1) is a Hausdorff space, then
(X,T) is a Hausdorff space
If f is onto and (Y,T1) is a T1-space,
then (X,T) is a T1-space
If f is one to one and (Y,T1) is a T1-
space, then (X,T) is a T1-space
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 None of the choices If (Y,T1) is a Hausdorff space, then (X,T) is a Hausdorff space If f is onto and (Y,T1) is a T1-space, then (X,T) is a T1-space If f is one to one and (Y,T1) is a T1- space, then (X,T) is a T1-space
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