Exercise 109.42.3. Let $X$ be a topological space.

Show that $H^ i(X, \mathcal{F})$ is zero for $i > 0$ if $X$ has $2$ or fewer points.

What if $X$ has $3$ points?

Exercise 109.42.3. Let $X$ be a topological space.

Show that $H^ i(X, \mathcal{F})$ is zero for $i > 0$ if $X$ has $2$ or fewer points.

What if $X$ has $3$ points?

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