Structure to polynomial functors in orthogonal calculus I

Abstract

In the study, algebraic structures and maps (category theory, morphisms and functors) that are inherently tied to the calculus of functors (orthogonal calculus) were explored. We emphasized on linear polynomial functors and generalized it to the n- polynomial functors as in the algebraic and topological settings where the topological settings talked about the Goodwillie and the Weiss case.