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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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Direct proof of "K is projective iff C(K) has the Hahn-Banach property" ?

Maybe I made a stupid mistake, but I think something along the following lines should work: Let $1_K$ be the standard order unit of $C(K)$. There is a canonical identification of $K$ with the subset …
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