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In their book "Algebraic Models in Geometry" (Felix, Oprea, Tanre) the authors claim that:

"Each finite type relative minimal cdga $(∧V ⊗∧W,D)$ is the relative minimal model of a fibration $p: E → B$ where $E$ and $B$ are finite type CW-complexes." (in section 2.6.1)

I would like to construct such finite type CW-complexes for a few such algebras. Does anyone know a recipe (an algorithm or an instructive proof or example) of how to do that? Or where I can find one?

(Note that the standard spatial realization of a minimal cdga is not finite type.)

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    $\begingroup$ A good place to start would be Theorem 10.2 (ii) in Sullivan's Infinitesimal Computations in Topology (page 307, with the proof/algorithm sketched on page 310), which covers the absolute case of B = a point. $\endgroup$
    – Aleksandar Milivojević
    Commented Jun 28, 2018 at 16:40

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