Category-theoretic functorial invariants built from directed path algebras on templexes yield separable homology and semigroup structures that detect chaos and tipping points from data.
Mac Lane,Categories for the Working Mathematician, Graduate Texts in Mathematics, Vol
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Functorial invariants for chaos topology from data
Category-theoretic functorial invariants built from directed path algebras on templexes yield separable homology and semigroup structures that detect chaos and tipping points from data.