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Miklós Schweitzer 2000, Problem 8

Source: Miklós Schweitzer 2000

July 30, 2016
college contestsMiklos Schweitzerfunctionreal analysis

Problem Statement

Let f ⁣:Rn→Rmf\colon \mathbb{R}^n \rightarrow \mathbb{R}^m be a map such that the image of every compact set is compact, and the image of every connected set is connected. Prove that ff is continuous.
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