nLab John Frank Adams
John Frank Adams (1930-1989) was a British mathematician who made a great contribution to algebraic topology and in particular stable homotopy theory.
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Peter May, Reminiscences of the Life and Mathematics of J. Frank Adams (pdf)
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Ioan James, John Frank Adams (pdf, pdf)
Selected writings
On the cobar construction:
- John F. Adams: On the cobar construction, PNAS 42 7 (1956) 409-412 [doi:10.1073/pnas.42.7.409]
Introducing the Adams-Hilton model for the Pontrjagin ring-structure on the homology of a based loop space, refined to the singular chain complex:
- John F. Adams, Peter J. Hilton, On the chain algebra of a loop space, Commentarii Mathematici Helvetici 30 (1956) 305–330 [doi:10.1007/BF02564350]
On localization and completion in algebraic topology, via idempotent monads:
- John Frank Adams, Zbigniew Fiedorowicz, Localisation and Completion with an addendum on the use of Brown-Peterson homology in stable homotopy, based on 1973 lectures by Adams [arXiv:1012.5020]
On stable homotopy theory and generalized (Eilenberg-Steenrod) cohomology:
- John Frank Adams, Stable homotopy and generalized homology, Chicago Lectures in Mathematics, The University of Chicago Press (1974) [ucp:bo21302708, pdf]
On the work of Henri Cartan in relation to homotopy theory:
- John Frank Adams, The work of M. H. Cartan in its relation with homotopy theory, Colloque analyse et topologie,Astérisque no. 32-33 (1976), p. 29-41 (numdam:AST_1976__32-33__29_0/)
On infinite loop spaces and -spaces, -algebras:
- John Adams, Infinite loop spaces, Hermann Weyl lectures at IAS, Annals of Mathematics Studies 90 Princeton University Press (1978) [ISBN:9780691082066, doi:10.1515/9781400821259]
On Lie groups:
- Frank Adams, Lectures on Lie groups, University of Chicago Press (1982) [ISBN:9780226005300, gbooks]
Related entries
Last revised on January 19, 2026 at 07:56:29. See the history of this page for a list of all contributions to it.