nLab Aldridge Bousfield

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Selected writings

On homotopy limits, completions and localizations (such as p-completion and rationalization):

• Aldridge Bousfield, Daniel Kan, Localization and completion in homotopy theory, Bull. Amer. Math. Soc. 77 6 (1971) 1006-1010 [doi:10.1090/S0002-9904-1971-12837-9, pdf]

• Daniel M. Kan and Aldridge K. Bousfield, Homotopy Limits, Completions and Localizations, Lecture Notes in Mathematics 304 (1972; 1987), Springer (doi:10.1007/978-3-540-38117-4)

On the core of a ring:

• Aldridge Bousfield, Daniel Kan, The core of a ring, Journal of Pure and Applied Algebra, Volume 2, Issue 1, April 1972, Pages 73-81 (doi:10.1016/0022-4049(72)90023-0)

On rational homotopy theory and the fundamental theorem of dg-algebraic rational homotopy theory:

• Aldridge Bousfield, Victor Gugenheim, On PL deRham theory and rational homotopy type, Memoirs of the AMS, vol. 179 (1976) (ams:memo-8-179)

Establishing the Bousfield-Friedlander model structure, in particular the stable model structure on topological sequential spectra:

• Aldridge Bousfield, Eric Friedlander, Homotopy theory of $\Gamma$-spaces, spectra, and bisimplicial sets, Springer Lecture Notes in Math., Vol. 658, Springer, Berlin, 1978, pp. 80-130. (pdf, pdf)

On the universal Kan fibration (origin of the univalence axiom):

• Aldridge Bousfield, email to VV from 01 May 2006 10:10:30 CDT $[$screenshot$]$

Related $n$Lab entries

• rational homotopy theory

• Bousfield-Friedlander model structure

• Bousfield localization of spectra

• Bousfield localization of model categories

• Bousfield-Friedlander theorem

• proper model category

• semi-left-exact left Bousfield localization

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