Discussion :: GATE Mathematics
- Let X be a compact Hausdorff topological space and let Y be a topological space. Let f: X --> Y be a bijective continuous mapping. Which of the following is TRUE?
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A.
f is a closed mapbut not necessarily an open map
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B.
f is an open map but not necessarily a closed map
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C.
f is both an open map and a closed map
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D.
f need not be an open map or a closed map
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Answer : Option D
Explanation :
-NA-
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