Aldridge Bousfield: Difference between revisions
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== Selected publications == |
== Selected publications == |
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* {{citation |
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* A. K. Bousfield, D. M. Kan , Homotopy limits, completions and localizations, Lecture Notes in Mathematics Vol. 304, Springer-Verlag (1972). |
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| last1=Bousfield | first1=Aldridge K. |
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⚫ | |||
| last2=Kan | first2= Daniel M. | authorlink2=Daniel Kan |
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⚫ | |||
| title=Homotopy limits, completions and localizations |
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* A. K. Bousfield, Homological Localization Towers for Groups and II-Modules, Memoirs of the American Mathematical Society 1977. |
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| series=Lecture Notes in Mathematics |
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* A. K. Bousfield, E. Friedlander, Homotopy theory of Γ-spaces, spectra, and bisimplicial sets, in: Lecture Notes in Mathematics Vol. 658, Springer-Verlag (1978), 80-130. |
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| volume=304 |
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| publisher=Springer-Verlag |
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| date=1972 |
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| doi=10.1007/978-3-540-38117-4 | doi-access=free}} |
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* {{citation |
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| last1=Bousfield | first1=Aldridge K. |
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| last2=Kan | first2= Daniel M. | authorlink2=Daniel Kan |
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| journal=[[Topology (journal)|Topology]] |
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| volume=11 |
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| issue=1 |
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| date=1972 |
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| pages=79–106 |
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| doi=10.1016/0040-9383(72)90024-9 | doi-access=free}} |
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* {{citation |
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| last1=Bousfield | first1=Aldridge K. |
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| last2=Kan | first2= Daniel M. | authorlink2=Daniel Kan |
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⚫ | |||
| journal=Transactions of the American Mathematical Society |
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| volume=177 |
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| date=1973 |
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| pages=319–343 |
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| doi=10.1090/S0002-9947-1973-0372860-2 | doi-access=free}} |
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* {{citation |
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| last1=Bousfield | first1=Aldridge K. |
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| title=Homological Localization Towers for Groups and <math>\Pi</math>-Modules |
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| journal=Memoirs of the American Mathematical Society |
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| date=1977 |
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| volume=10 |
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| issue=186 |
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| doi=10.1090/memo/0186 |
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| mr=0447375}} |
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* {{citation |
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| last1=Bousfield | first1=Aldridge K. |
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| last2=Friedlander | first2=Eric M. | authorlink2=Eric Friedlander |
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| contribution=Homotopy theory of <math>\Gamma</math>-spaces, spectra, and bisimplicial sets |
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| title=Geometric Applications of Homotopy Theory II |
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| series=Lecture Notes in Mathematics |
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| volume=658 |
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| publisher=Springer-Verlag |
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| pages=80–130 |
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| date=1978 |
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| doi=10.1007/BFb0068711 | doi-access=free}} |
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* {{citation |
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| last1=Bousfield | first1=Aldridge K. |
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⚫ | |||
| journal=[[Topology (journal)|Topology]] |
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| volume=18 |
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| issue=4 |
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| date=1979 |
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| pages=257–281 |
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| doi=10.1016/0040-9383(79)90018-1 | doi-access=free}} |
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* {{citation |
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| last1=Bousfield | first1=Aldridge K. |
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⚫ | |||
| journal=[[Israel Journal of Mathematics]] |
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| volume=66 |
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| date=1989 |
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| pages=54-104 |
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| doi=10.1007/BF02765886 | doi-access=free}} |
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== References == |
== References == |
Revision as of 11:02, 23 August 2021
Pete (Aldridge) Bousfield | |
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Born | Boston, Massachusetts, United States of America | 5 April 1941
Died | 4 October 2020 | (aged 79)
Citizenship | American |
Alma mater | M.I.T. |
Known for | Bousfield localization |
Scientific career | |
Fields | Mathematics, Algebraic Topology |
Institutions | Brandeis University, University of Chicago |
Thesis | Higher Order Suspension Maps for Non-Additive Functors (1966) |
Doctoral advisor | Daniel Kan |
Aldridge Knight Bousfield (April 5, 1941 – October 4, 2020),[1] known as Pete, was an American mathematician working in Algebraic Topology, known for the concept of Bousfield localization.
Work and life
Bousfield obtained both his undergraduate degree (1963) and his doctorate (1966) at the Massachusetts Institute of Technology. His doctoral thesis entitled Higher Order Suspension Maps for Non-Additive Functors was written under the supervision of Dan Kan.[2] He was Lecturer and Assistant Professor at Brandeis University and moved to the University of Illinois at Chicago where he worked from 1972 to his retirement in 2000.
Bousfield married Marie Vastersavendts, a Belgian mathematician, in 1968. She worked as demographer for the city of Chicago and died in 2016.[3]
Research
Within algebraic topology, he specialised in homotopy theory. The Bousfield-Kan spectral sequence, Bousfield localization of spectra and model categories, and the Bousfield-Friedlander model structure[4] are named after Bousfield (and Kan and Friedlander, respectively).
Recognition
He was named to the 2018 class of fellows of the American Mathematical Society "for contributions to homotopy theory and for exposition".[5]
Selected publications
- Bousfield, Aldridge K.; Kan, Daniel M. (1972), Homotopy limits, completions and localizations, Lecture Notes in Mathematics, vol. 304, Springer-Verlag, doi:10.1007/978-3-540-38117-4
- Bousfield, Aldridge K.; Kan, Daniel M. (1972), "The homotopy spectral sequence of a space with coefficients in a ring", Topology, 11 (1): 79–106, doi:10.1016/0040-9383(72)90024-9
- Bousfield, Aldridge K.; Kan, Daniel M. (1973), "Pairings and products in the homotopy spectral sequence", Transactions of the American Mathematical Society, 177: 319–343, doi:10.1090/S0002-9947-1973-0372860-2
- Bousfield, Aldridge K. (1977), "Homological Localization Towers for Groups and -Modules", Memoirs of the American Mathematical Society, 10 (186), doi:10.1090/memo/0186, MR 0447375
- Bousfield, Aldridge K.; Friedlander, Eric M. (1978), "Homotopy theory of -spaces, spectra, and bisimplicial sets", Geometric Applications of Homotopy Theory II, Lecture Notes in Mathematics, vol. 658, Springer-Verlag, pp. 80–130, doi:10.1007/BFb0068711
- Bousfield, Aldridge K. (1979), "The localization of spectra with respect to homology", Topology, 18 (4): 257–281, doi:10.1016/0040-9383(79)90018-1
- Bousfield, Aldridge K. (1989), "Homotopy Spectral Sequences and Obstructions", Israel Journal of Mathematics, 66: 54–104, doi:10.1007/BF02765886
References
- ^ Cited from American Men and Women of Science, Thomson Gale 2004 and Brooke Shipley (10 October 2020). "Aldridge (Pete) Bousfield". ALGTOP-L archive. Retrieved 11 October 2020.
- ^ Aldridge Bousfield at the Mathematics Genealogy Project
- ^ "Marie Bousfield (1939-2016)". Chicago Tribune. 18 March 2016. Retrieved 11 October 2020.
- ^ "Bousfield-Friedlander model structure". nLab. 8 September 2020. Retrieved 11 October 2020.
- ^ 2018 Class of Fellows of the AMS, American Mathematical Society, retrieved 2020-11-02