A category-theoretic framework for free maps is proposed, subsuming classical free analysis and covering the Schur complement, but the proof of its inverse function theorem is circular.
The inverse function theorem and the Jacobian conjecture for free analysis
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The Free Functional Calculus in General
A category-theoretic framework for free maps is proposed, subsuming classical free analysis and covering the Schur complement, but the proof of its inverse function theorem is circular.