- #1
orion
- 93
- 2
I am working my way through elementary topology, and I have thought up a theorem that I am having trouble proving so any help would be greatly appreciated.
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Theorem: Let A ⊂ ℝn and B ⊂ ℝm and let f: A → B be continuous and surjective. If A is bounded then B is bounded.
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You should not assume that A is compact.
Thanks in advance for any help.
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Theorem: Let A ⊂ ℝn and B ⊂ ℝm and let f: A → B be continuous and surjective. If A is bounded then B is bounded.
------------------------
You should not assume that A is compact.
Thanks in advance for any help.