cmi-entrance 2013 QA14

cmi-entrance · India · pgmath 4 marks Not Maths

Let $f : X \rightarrow Y$ be a nonconstant continuous map of topological spaces. Which of the following statements are true?
(a) If $Y = \mathbb { R }$ and $X$ is connected then $X$ is uncountable.
(b) If $X$ is Hausdorff then $f ( X )$ is Hausdorff.
(c) If $X$ is compact then $f ( X )$ is compact.
(d) If $X$ is connected then $f ( X )$ is connected.

Let $f : X \rightarrow Y$ be a nonconstant continuous map of topological spaces. Which of the following statements are true?\\
(a) If $Y = \mathbb { R }$ and $X$ is connected then $X$ is uncountable.\\
(b) If $X$ is Hausdorff then $f ( X )$ is Hausdorff.\\
(c) If $X$ is compact then $f ( X )$ is compact.\\
(d) If $X$ is connected then $f ( X )$ is connected.

Paper Questions

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