Urs Schreiber : duality of monads in geometric homotopy theory

https://ncatlab.org/schreiber/show/Duality+of+Monads+in+Geometric+Homotopy+Theory

« It is fairly well known that the category-theoretic concept of adjoint pairs captures a good deal of the informal philosophical sentiment of duality (Lambek 82). But ancienct metaphysics also tends to associate a primordial dynamical progression to duality.« 

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