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Bousfield, A. K.

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Author ID: bousfield.a-k Recent zbMATH articles by "Bousfield, A. K."
Published as: Bousfield, A. K.
Documents Indexed: 47 Publications since 1966, including 3 Books

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 1,842 times in 1,303 Documents Cited by Year
Homotopy limits, completions and localizations. Zbl 0259.55004
Bousfield, A. K.; Kan, D. M.
667
1972
The localization of spectra with respect to homology. Zbl 0417.55007
Bousfield, A. K.
142
1979
On PL De Rham theory and rational homotopy type. Zbl 0338.55008
Bousfield, A. K.; Gugenheim, V. K. A. M.
139
1976
Homotopy theory of \(\Gamma\)-spaces, spectra, and bisimplicial sets. Zbl 0405.55021
Bousfield, A. K.; Friedlander, E. M.
133
1978
The localization of spaces with respect to homology. Zbl 0309.55013
Bousfield, A. K.
100
1975
Constructions of factorization systems in categories. Zbl 0361.18001
Bousfield, A. K.
61
1977
The mod-\(p\) lower central series and the Adams spectral sequence. Zbl 0158.20502
Bousfield, A. K.; Curtis, E. B.; Kan, D. M.; Quillen, D. G.; Rector, D. L.; Schlesinger, J. W.
61
1966
Localization and periodicity in unstable homotopy theory. Zbl 0839.55008
Bousfield, A. K.
40
1994
On the homology spectral sequence of a cosimplicial space. Zbl 0623.55009
Bousfield, A. K.
36
1987
Homological localization towers for groups and \(\Pi\)-modules. Zbl 0364.20058
Bousfield, A. K.
35
1977
On the telescopic homotopy theory of spaces. Zbl 0971.55016
Bousfield, A. K.
32
2001
The homotopy spectral sequence of a space with coefficients in a ring. Zbl 0202.22803
Bousfield, A. K.; Kan, D. M.
32
1971
Cosimplicial resolutions and homotopy spectral sequences in model categories. Zbl 1065.55012
Bousfield, A. K.
29
2003
Homotopy spectral sequences and obstructions. Zbl 0677.55020
Bousfield, A. K.
28
1989
Homotopical localizations of spaces. Zbl 0886.55011
Bousfield, A. K.
25
1997
The Boolean algebra of spectra. Zbl 0421.55002
Bousfield, A. K.
25
1979
A classification of K-local spectra. Zbl 0713.55007
Bousfield, A. K.
22
1990
A spectral sequence for the homotopy of nice spaces. Zbl 0209.27403
Bousfield, A. K.; Curtis, E. B.
21
1970
Nice homology coalgebras. Zbl 0199.33302
Bousfield, A. K.
21
1970
On the homotopy theory of K-local spectra at an odd prime. Zbl 0585.55004
Bousfield, A. K.
16
1985
The core of a ring. Zbl 0233.55004
Bousfield, A. K.; Kan, D. M.
16
1972
Pairings and products in the homotopy spectral sequence. Zbl 0282.55012
Bousfield, A. K.; Kan, D. M.
14
1973
On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces. Zbl 0845.55010
Bousfield, A. K.
13
1996
K-localizations and K-equivalences of infinite loop spaces. Zbl 0511.55007
Bousfield, A. K.
12
1982
A second quadrant homotopy spectral sequence. Zbl 0259.55010
Bousfield, A. K.; Kan, D. M.
12
1973
The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces. Zbl 0933.57034
Bousfield, A. K.
11
1999
On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces. Zbl 0867.55005
Bousfield, A. K.
10
1996
On homology equivalences and homological localizations of spaces. Zbl 0505.55013
Bousfield, A. K.
9
1982
Localization and completion in homotopy theory. Zbl 0239.55013
Bousfield, A. K.; Kan, D. M.
9
1971
Unstable localization and periodicity. Zbl 0860.55012
Bousfield, A. K.
8
1996
Uniqueness of infinite deloopings for K-theoretic spaces. Zbl 0664.55006
Bousfield, A. K.
8
1987
Types of acyclicity. Zbl 0279.55006
Bousfield, A. K.
8
1974
On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces. Zbl 1098.55009
Bousfield, A. K.
7
2005
On \(K(n)\)-equivalences of spaces. Zbl 0939.55004
Bousfield, A. K.
7
1999
On the \(p\)-adic completions of nonnilpotent spaces. Zbl 0763.55008
Bousfield, A. K.
7
1992
The rational homology of function spaces. Zbl 0674.55008
Bousfield, A. K.; Peterson, C.; Smith, Larry
6
1989
On \(K_ *\)-local stable homotopy theory. Zbl 0754.55006
Bousfield, A. K.
5
1992
A vanishing theorem for the unstable Adams spectral sequence. Zbl 0187.20301
Bousfield, A. K.
4
1970
Homological localizations of spaces, groups, and \(\pi\)-modules. Zbl 0305.55004
Bousfield, A. K.
3
1974
Homotopy with respect to a ring. Zbl 0243.55008
Bousfield, A. K.; Kan, D. M.
3
1971
On the 2-adic \(K\)-localizations of \(H\)-spaces. Zbl 1113.55005
Bousfield, A. K.
2
2007
Correction to: “The Boolean algebra of spectra”. Zbl 0532.55005
Bousfield, A. K.
2
1983
Correction to “The core of a ring”. Zbl 0271.55008
Bousfield, A. K.; Kan, D. M.
1
1973
On the 2-adic \(K\)-localizations of \(H\)-spaces. Zbl 1113.55005
Bousfield, A. K.
2
2007
On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces. Zbl 1098.55009
Bousfield, A. K.
7
2005
Cosimplicial resolutions and homotopy spectral sequences in model categories. Zbl 1065.55012
Bousfield, A. K.
29
2003
On the telescopic homotopy theory of spaces. Zbl 0971.55016
Bousfield, A. K.
32
2001
The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces. Zbl 0933.57034
Bousfield, A. K.
11
1999
On \(K(n)\)-equivalences of spaces. Zbl 0939.55004
Bousfield, A. K.
7
1999
Homotopical localizations of spaces. Zbl 0886.55011
Bousfield, A. K.
25
1997
On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces. Zbl 0845.55010
Bousfield, A. K.
13
1996
On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces. Zbl 0867.55005
Bousfield, A. K.
10
1996
Unstable localization and periodicity. Zbl 0860.55012
Bousfield, A. K.
8
1996
Localization and periodicity in unstable homotopy theory. Zbl 0839.55008
Bousfield, A. K.
40
1994
On the \(p\)-adic completions of nonnilpotent spaces. Zbl 0763.55008
Bousfield, A. K.
7
1992
On \(K_ *\)-local stable homotopy theory. Zbl 0754.55006
Bousfield, A. K.
5
1992
A classification of K-local spectra. Zbl 0713.55007
Bousfield, A. K.
22
1990
Homotopy spectral sequences and obstructions. Zbl 0677.55020
Bousfield, A. K.
28
1989
The rational homology of function spaces. Zbl 0674.55008
Bousfield, A. K.; Peterson, C.; Smith, Larry
6
1989
On the homology spectral sequence of a cosimplicial space. Zbl 0623.55009
Bousfield, A. K.
36
1987
Uniqueness of infinite deloopings for K-theoretic spaces. Zbl 0664.55006
Bousfield, A. K.
8
1987
On the homotopy theory of K-local spectra at an odd prime. Zbl 0585.55004
Bousfield, A. K.
16
1985
Correction to: “The Boolean algebra of spectra”. Zbl 0532.55005
Bousfield, A. K.
2
1983
K-localizations and K-equivalences of infinite loop spaces. Zbl 0511.55007
Bousfield, A. K.
12
1982
On homology equivalences and homological localizations of spaces. Zbl 0505.55013
Bousfield, A. K.
9
1982
The localization of spectra with respect to homology. Zbl 0417.55007
Bousfield, A. K.
142
1979
The Boolean algebra of spectra. Zbl 0421.55002
Bousfield, A. K.
25
1979
Homotopy theory of \(\Gamma\)-spaces, spectra, and bisimplicial sets. Zbl 0405.55021
Bousfield, A. K.; Friedlander, E. M.
133
1978
Constructions of factorization systems in categories. Zbl 0361.18001
Bousfield, A. K.
61
1977
Homological localization towers for groups and \(\Pi\)-modules. Zbl 0364.20058
Bousfield, A. K.
35
1977
On PL De Rham theory and rational homotopy type. Zbl 0338.55008
Bousfield, A. K.; Gugenheim, V. K. A. M.
139
1976
The localization of spaces with respect to homology. Zbl 0309.55013
Bousfield, A. K.
100
1975
Types of acyclicity. Zbl 0279.55006
Bousfield, A. K.
8
1974
Homological localizations of spaces, groups, and \(\pi\)-modules. Zbl 0305.55004
Bousfield, A. K.
3
1974
Pairings and products in the homotopy spectral sequence. Zbl 0282.55012
Bousfield, A. K.; Kan, D. M.
14
1973
A second quadrant homotopy spectral sequence. Zbl 0259.55010
Bousfield, A. K.; Kan, D. M.
12
1973
Correction to “The core of a ring”. Zbl 0271.55008
Bousfield, A. K.; Kan, D. M.
1
1973
Homotopy limits, completions and localizations. Zbl 0259.55004
Bousfield, A. K.; Kan, D. M.
667
1972
The core of a ring. Zbl 0233.55004
Bousfield, A. K.; Kan, D. M.
16
1972
The homotopy spectral sequence of a space with coefficients in a ring. Zbl 0202.22803
Bousfield, A. K.; Kan, D. M.
32
1971
Localization and completion in homotopy theory. Zbl 0239.55013
Bousfield, A. K.; Kan, D. M.
9
1971
Homotopy with respect to a ring. Zbl 0243.55008
Bousfield, A. K.; Kan, D. M.
3
1971
A spectral sequence for the homotopy of nice spaces. Zbl 0209.27403
Bousfield, A. K.; Curtis, E. B.
21
1970
Nice homology coalgebras. Zbl 0199.33302
Bousfield, A. K.
21
1970
A vanishing theorem for the unstable Adams spectral sequence. Zbl 0187.20301
Bousfield, A. K.
4
1970
The mod-\(p\) lower central series and the Adams spectral sequence. Zbl 0158.20502
Bousfield, A. K.; Curtis, E. B.; Kan, D. M.; Quillen, D. G.; Rector, D. L.; Schlesinger, J. W.
61
1966
all top 5

Cited by 909 Authors

29 Dwyer, William G.
22 Blanc, David Abraham
19 Bousfield, A. K.
18 Scherer, Jérôme
16 Castellana, Natàlia
16 Dror Farjoun, Emmanuel
16 Kan, Daniel Marinus
16 Mikhaĭlov, Roman Valer’evich
14 Casacuberta, Carles
13 Notbohm, Dietrich
12 Levi, Ran
11 Barthel, Tobias
11 Broto, Carles
11 Félix, Yves
11 Friedlander, Eric Mark
11 Oliver, Bob
11 Porter, Timothy
10 Mahowald, Mark Edward
10 Wu, Jie
9 Baues, Hans-Joachim
9 Chorny, Boris
9 Davis, Donald M.
9 Flores, Ramón J.
9 Goerss, Paul G.
9 Jardine, John Frederick
9 Libman, Assaf
9 Rosický, Jiří
9 Thomas, Jean-Claude
9 Weiss, Michael S.
8 Cegarra, Antonio Martínez
8 Chachólski, Wojciech
8 Garner, Richard
8 Gutiérrez, Javier J.
8 Isaksen, Daniel C.
8 Neeman, Amnon
8 Rognes, John
8 Schlichtkrull, Christian
8 Shipley, Brooke E.
8 Singer, William M.
8 Vogt, Rainer M.
7 Barnes, David
7 Berrick, A. Jon
7 Dugger, Daniel
7 Golasiński, Marek
7 Halperin, Stephen
7 Hovey, Mark A.
7 Ivanov, Sergei O.
7 Mandell, Michael A.
7 Mathew, Akhil
7 Møller, Jesper Michael
7 Murillo-Mas, Aniceto
7 Rodríguez, José Luis
7 Roitzheim, Constanze Susanne Ruth
7 Sagave, Steffen
7 Smith, Larry
7 Thomason, Robert Wayne
7 Turner, James M.
6 Benson, David John
6 Biedermann, Georg
6 Blumberg, Andrew J.
6 Buijs, Urtzi
6 Chataur, David
6 Cordier, Jean-Marc
6 Crespo, Juan Alfonso
6 Fiedorowicz, Zbigniew
6 Greenlees, John P. C.
6 Grodal, Jesper
6 Hamanaka, Hiroaki
6 Hess, Kathryn P.
6 Hilton, Peter John
6 Kono, Akira
6 Krause, Henning
6 Lambrechts, Pascal
6 Lomonaco, Luciano Amito
6 Morel, Fabien
6 Noel, Justin
6 Østvær, Paul Arne
6 Peschke, Georg
6 Pridham, Jonathan Paul
6 Richter, Birgit
6 Scheerer, Hans
6 Schwänzl, Roland
6 Schwede, Stefan
6 Smith, Jeffrey Henderson
6 Stanley, Donald A.
6 Tanré, Daniel
6 Weibel, Charles A.
5 Carlsson, Gunnar E.
5 Ciampella, Adriana
5 Cortiñas, Guillermo H.
5 Edwards, David A.
5 Geoghegan, Ross
5 Heard, Drew
5 Hernández Paricio, Luis Javier
5 Intermont, Michele
5 Johnson, Mark W.
5 Kishimoto, Daisuke
5 Kitchloo, Nitu
5 Kříž, Igor
5 Kuhn, Nicholas J.
...and 809 more Authors
all top 5

Cited in 131 Serials

180 Journal of Pure and Applied Algebra
121 Transactions of the American Mathematical Society
88 Advances in Mathematics
84 Topology and its Applications
77 Algebraic & Geometric Topology
62 Proceedings of the American Mathematical Society
52 Mathematische Zeitschrift
40 Geometry & Topology
38 Israel Journal of Mathematics
33 Inventiones Mathematicae
26 \(K\)-Theory
25 Journal of Algebra
25 Journal of Homotopy and Related Structures
23 Mathematische Annalen
18 Cahiers de Topologie et Géométrie Différentielle Catégoriques
17 Mathematical Proceedings of the Cambridge Philosophical Society
17 Manuscripta Mathematica
15 Journal of the American Mathematical Society
15 Applied Categorical Structures
14 Compositio Mathematica
14 Bulletin of the American Mathematical Society
13 Duke Mathematical Journal
13 Journal of \(K\)-Theory
11 Annales de l’Institut Fourier
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Bulletin of the American Mathematical Society. New Series
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Communications in Algebra
7 Forum Mathematicum
7 Annals of Mathematics. Second Series
7 Journal of Topology
6 Archiv der Mathematik
6 Publications Mathématiques
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Journal of the European Mathematical Society (JEMS)
5 Acta Mathematica
5 Journal für die Reine und Angewandte Mathematik
5 Memoirs of the American Mathematical Society
5 Siberian Mathematical Journal
5 Journal of Mathematical Sciences (New York)
4 Journal of Geometry and Physics
4 Bulletin de la Société Mathématique de France
4 Selecta Mathematica. New Series
4 Documenta Mathematica
3 Communications on Pure and Applied Mathematics
3 Mathematical Notes
3 Collectanea Mathematica
3 Journal of Soviet Mathematics
3 Proceedings of the London Mathematical Society. Third Series
3 MSCS. Mathematical Structures in Computer Science
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Indagationes Mathematicae. New Series
3 St. Petersburg Mathematical Journal
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Journal of Algebra and its Applications
3 Journal of Noncommutative Geometry
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Functional Analysis and its Applications
2 Fundamenta Mathematicae
2 Glasgow Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Kodai Mathematical Journal
2 Differential Geometry and its Applications
2 Applicable Algebra in Engineering, Communication and Computing
2 Theory and Applications of Categories
2 Izvestiya: Mathematics
2 Acta Mathematica Sinica. English Series
2 Central European Journal of Mathematics
2 Mediterranean Journal of Mathematics
2 Tbilisi Mathematical Journal
2 Forum of Mathematics, Sigma
2 Higher Structures
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Letters in Mathematical Physics
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Reviews in Mathematical Physics
1 Acta Mathematica Vietnamica
1 Algebra Universalis
1 Boletim da Sociedade Brasileira de Matemática
1 Czechoslovak Mathematical Journal
1 Geometriae Dedicata
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 The Journal of Symbolic Logic
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 Semigroup Forum
1 Theoretical Computer Science
...and 31 more Serials

Citations by Year