Does anybody know an example of a continous map F: R --> R and a closed Subset B C R such that f(b) is not closed.

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- Oct 31st 2006, 04:38 PMmathisnotforme101Images of Compact and Connected Sets
Does anybody know an example of a continous map F: R --> R and a closed Subset B C R such that f(b) is not closed.

- Nov 13th 2006, 07:38 AMjulien
No, because by definition every continuous image of an open set is open, whence every continuous image of a closed set is closed.

- Nov 13th 2006, 01:28 PMJay Gatsby
- Nov 13th 2006, 01:35 PMJay Gatsby