nLab Daniel Quillen

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Daniel Quillen (1940-2011)

Selected writings

  • Clay Mathematical Institute: Scanned images of Quillen’s research notebooks [webpage]

Introducing model category-theory for homotopy theory:

On rational homotopy theory:

  • Dan Quillen, Rational homotopy theory, The Annals of Mathematics, Second Series, Vol. 90, No. 2 (Sep., 1969), pp. 205-295 (JSTOR, pdf)

Proof that topological realization takes Kan fibrations to Serre fibrations:

On the (co)homology of commutative algebras:

  • D. G. Quillen, 1970, On the (co-)homology of commutative rings, in Proc. Symp. on Categorical Algebra, 65–87, American Math. Soc.

On cobordism cohomology theory:

On equivariant de Rham cohomology:

Also

On the group completion theorem:

category: people

Last revised on February 18, 2025 at 11:58:20. See the history of this page for a list of all contributions to it.