Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
None of the choices.
If f is onto and (Y,T_1) is a Hausdorff space
then (X,T) is Hausdorff.
If f is one-to-one and (Y,T_1 ) is a Hausdorff
space then (X,T) is Hausdorff.
If (Y,T_1) is a T_1 space then (X,T) is a T_1
space.
O
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Transcribed Image Text:Let (X, T) and (Y, T₁) be two topological spaces and let f be a continuous mapping of X into Y. None of the choices. If f is onto and (Y,T_1) is a Hausdorff space then (X,T) is Hausdorff. If f is one-to-one and (Y,T_1 ) is a Hausdorff space then (X,T) is Hausdorff. If (Y,T_1) is a T_1 space then (X,T) is a T_1 space. O
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