nLab Thomas Goodwillie

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Selected writings

Introducing Goodwillie calculus:

• Tom Goodwillie, The differential calculus of homotopy functors, Proceedings of the International Congress of Mathematicians in Kyoto 1990, Vol. I, Math. Soc. Japan, 1991, pp. 621–6 (article pdf, full proceedings Vol I pdf, pdf)

• Thomas Goodwillie, Calculus. I. The first derivative of pseudoisotopy theory, K-Theory 4 (1990), no. 1, 1-27 (doi:10.1007/BF00534191, MR:1076523)

• Thomas Goodwillie, Calculus. II. Analytic functors, K-Theory 5 (1991/92), no. 4, 295-332 (doi:10.1007/BF00535644, MR:1162445)

• Thomas Goodwillie, Calculus. III. Taylor series, Geom. Topol. 7 (2003), 645–711 (euclid:gt/1513883319 doi:10.2140/gt.2003.7.645, arXiv:math/0310481)

On algebraic K-theory:

• Bjørn Dundas, Thomas Goodwillie, Randy McCarthy, The local structure of algebraic K-theory, Springer (2013) [doi:10.1007/978-1-4471-4393-2]

Related entries

• Goodwillie calculus

• Goodwillie-Taylor tower

• excisive (∞,1)-functor, n-excisive (∞,1)-functor

• Goodwillie differentiation, Goodwillie chain rule

• Goodwillie derivative of the identity functor

• Goodwillie spectral sequence

• Goodwillie-differentiable (∞,1)-category

• orthogonal calculus, manifold calculus

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