nLab Goodwillie calculus - contents

Goodwillie calculus – approximation of homotopy theories by stable homotopy theories

• Goodwillie-differentiable (∞,1)-category

• excisive (∞,1)-functor

  • spectrum object, parameterized spectrum,

  • tangent (∞,1)-category, tangent (∞,1)-topos

• n-excisive (∞,1)-functor

  • jet (∞,1)-category

  • polynomial (∞,1)-functor, n-reduced (∞,1)-functor, n-homogeneous (∞,1)-functor

• Goodwillie-Taylor tower

  • analytic (∞,1)-functor

  • Goodwillie spectral sequence