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I just remember from topology, the only continuous functions from connected space to {0,1} are constant functions. With this be useful in solving the problem?

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- Thread starter huyichen
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- #1

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I just remember from topology, the only continuous functions from connected space to {0,1} are constant functions. With this be useful in solving the problem?

- #2

quasar987

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Then show that a vanishing pushfoward implies that F is locally constant.

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