Suppose $X$ is a convex subset of a topological vector space. $f$ is a linear function. Is it true that $ri(f(X))=f(ri(X))$, where ri means relative interior? If so, is there a reference from which I can quote this result?
2026-04-04 12:47:57.1775306877
Is it true that the image of the relative interior is the relative interior of the image?
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