Edit Profile Bousfield, A. K. Compute Distance To: Compute Author ID: bousfield.a-k Published as: Bousfield, A. K. Documents Indexed: 47 Publications since 1966, including 3 Books all top 5 Co-Authors 32 single-authored 9 Kan, Daniel Marinus 2 Curtis, Edward B. 1 Barthel, Tobias 1 Davis, Donald M. 1 Friedlander, Eric Mark 1 Gugenheim, V. K. A. M. 1 Peterson, Clayton 1 Quillen, Daniel Gray 1 Rector, David L. 1 Schlesinger, James W. 1 Smith, Larry all top 5 Serials 7 Topology 6 Transactions of the American Mathematical Society 4 American Journal of Mathematics 4 Journal of Pure and Applied Algebra 2 Commentarii Mathematici Helvetici 2 Memoirs of the American Mathematical Society 1 Israel Journal of Mathematics 1 Archiv der Mathematik 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 \(K\)-Theory 1 Journal of the American Mathematical Society 1 Geometry & Topology 1 Homology, Homotopy and Applications 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Journal of \(K\)-Theory all top 5 Fields 44 Algebraic topology (55-XX) 8 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 3 Manifolds and cell complexes (57-XX) 2 \(K\)-theory (19-XX) 1 Associative rings and algebras (16-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications 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 0259.55004Bousfield, A. K.; Kan, D. M. 667 1972 The localization of spectra with respect to homology. Zbl 0417.55007Bousfield, A. K. 142 1979 On PL De Rham theory and rational homotopy type. Zbl 0338.55008Bousfield, A. K.; Gugenheim, V. K. A. M. 139 1976 Homotopy theory of \(\Gamma\)-spaces, spectra, and bisimplicial sets. Zbl 0405.55021Bousfield, A. K.; Friedlander, E. M. 133 1978 The localization of spaces with respect to homology. Zbl 0309.55013Bousfield, A. K. 100 1975 Constructions of factorization systems in categories. Zbl 0361.18001Bousfield, A. K. 61 1977 The mod-\(p\) lower central series and the Adams spectral sequence. Zbl 0158.20502Bousfield, 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 0839.55008Bousfield, A. K. 40 1994 On the homology spectral sequence of a cosimplicial space. Zbl 0623.55009Bousfield, A. K. 36 1987 Homological localization towers for groups and \(\Pi\)-modules. Zbl 0364.20058Bousfield, A. K. 35 1977 On the telescopic homotopy theory of spaces. Zbl 0971.55016Bousfield, A. K. 32 2001 The homotopy spectral sequence of a space with coefficients in a ring. Zbl 0202.22803Bousfield, A. K.; Kan, D. M. 32 1971 Cosimplicial resolutions and homotopy spectral sequences in model categories. Zbl 1065.55012Bousfield, A. K. 29 2003 Homotopy spectral sequences and obstructions. Zbl 0677.55020Bousfield, A. K. 28 1989 Homotopical localizations of spaces. Zbl 0886.55011Bousfield, A. K. 25 1997 The Boolean algebra of spectra. Zbl 0421.55002Bousfield, A. K. 25 1979 A classification of K-local spectra. Zbl 0713.55007Bousfield, A. K. 22 1990 A spectral sequence for the homotopy of nice spaces. Zbl 0209.27403Bousfield, A. K.; Curtis, E. B. 21 1970 Nice homology coalgebras. Zbl 0199.33302Bousfield, A. K. 21 1970 On the homotopy theory of K-local spectra at an odd prime. Zbl 0585.55004Bousfield, A. K. 16 1985 The core of a ring. Zbl 0233.55004Bousfield, A. K.; Kan, D. M. 16 1972 Pairings and products in the homotopy spectral sequence. Zbl 0282.55012Bousfield, A. K.; Kan, D. M. 14 1973 On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces. Zbl 0845.55010Bousfield, A. K. 13 1996 K-localizations and K-equivalences of infinite loop spaces. Zbl 0511.55007Bousfield, A. K. 12 1982 A second quadrant homotopy spectral sequence. Zbl 0259.55010Bousfield, A. K.; Kan, D. M. 12 1973 The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces. Zbl 0933.57034Bousfield, A. K. 11 1999 On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces. Zbl 0867.55005Bousfield, A. K. 10 1996 On homology equivalences and homological localizations of spaces. Zbl 0505.55013Bousfield, A. K. 9 1982 Localization and completion in homotopy theory. Zbl 0239.55013Bousfield, A. K.; Kan, D. M. 9 1971 Unstable localization and periodicity. Zbl 0860.55012Bousfield, A. K. 8 1996 Uniqueness of infinite deloopings for K-theoretic spaces. Zbl 0664.55006Bousfield, A. K. 8 1987 Types of acyclicity. Zbl 0279.55006Bousfield, A. K. 8 1974 On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces. Zbl 1098.55009Bousfield, A. K. 7 2005 On \(K(n)\)-equivalences of spaces. Zbl 0939.55004Bousfield, A. K. 7 1999 On the \(p\)-adic completions of nonnilpotent spaces. Zbl 0763.55008Bousfield, A. K. 7 1992 The rational homology of function spaces. Zbl 0674.55008Bousfield, A. K.; Peterson, C.; Smith, Larry 6 1989 On \(K_ *\)-local stable homotopy theory. Zbl 0754.55006Bousfield, A. K. 5 1992 A vanishing theorem for the unstable Adams spectral sequence. Zbl 0187.20301Bousfield, A. K. 4 1970 Homological localizations of spaces, groups, and \(\pi\)-modules. Zbl 0305.55004Bousfield, A. K. 3 1974 Homotopy with respect to a ring. Zbl 0243.55008Bousfield, A. K.; Kan, D. M. 3 1971 On the 2-adic \(K\)-localizations of \(H\)-spaces. Zbl 1113.55005Bousfield, A. K. 2 2007 Correction to: “The Boolean algebra of spectra”. Zbl 0532.55005Bousfield, A. K. 2 1983 Correction to “The core of a ring”. Zbl 0271.55008Bousfield, A. K.; Kan, D. M. 1 1973 On the 2-adic \(K\)-localizations of \(H\)-spaces. Zbl 1113.55005Bousfield, A. K. 2 2007 On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces. Zbl 1098.55009Bousfield, A. K. 7 2005 Cosimplicial resolutions and homotopy spectral sequences in model categories. Zbl 1065.55012Bousfield, A. K. 29 2003 On the telescopic homotopy theory of spaces. Zbl 0971.55016Bousfield, A. K. 32 2001 The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces. Zbl 0933.57034Bousfield, A. K. 11 1999 On \(K(n)\)-equivalences of spaces. Zbl 0939.55004Bousfield, A. K. 7 1999 Homotopical localizations of spaces. Zbl 0886.55011Bousfield, A. K. 25 1997 On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces. Zbl 0845.55010Bousfield, A. K. 13 1996 On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces. Zbl 0867.55005Bousfield, A. K. 10 1996 Unstable localization and periodicity. Zbl 0860.55012Bousfield, A. K. 8 1996 Localization and periodicity in unstable homotopy theory. Zbl 0839.55008Bousfield, A. K. 40 1994 On the \(p\)-adic completions of nonnilpotent spaces. Zbl 0763.55008Bousfield, A. K. 7 1992 On \(K_ *\)-local stable homotopy theory. Zbl 0754.55006Bousfield, A. K. 5 1992 A classification of K-local spectra. Zbl 0713.55007Bousfield, A. K. 22 1990 Homotopy spectral sequences and obstructions. Zbl 0677.55020Bousfield, A. K. 28 1989 The rational homology of function spaces. Zbl 0674.55008Bousfield, A. K.; Peterson, C.; Smith, Larry 6 1989 On the homology spectral sequence of a cosimplicial space. Zbl 0623.55009Bousfield, A. K. 36 1987 Uniqueness of infinite deloopings for K-theoretic spaces. Zbl 0664.55006Bousfield, A. K. 8 1987 On the homotopy theory of K-local spectra at an odd prime. Zbl 0585.55004Bousfield, A. K. 16 1985 Correction to: “The Boolean algebra of spectra”. Zbl 0532.55005Bousfield, A. K. 2 1983 K-localizations and K-equivalences of infinite loop spaces. Zbl 0511.55007Bousfield, A. K. 12 1982 On homology equivalences and homological localizations of spaces. Zbl 0505.55013Bousfield, A. K. 9 1982 The localization of spectra with respect to homology. Zbl 0417.55007Bousfield, A. K. 142 1979 The Boolean algebra of spectra. Zbl 0421.55002Bousfield, A. K. 25 1979 Homotopy theory of \(\Gamma\)-spaces, spectra, and bisimplicial sets. Zbl 0405.55021Bousfield, A. K.; Friedlander, E. M. 133 1978 Constructions of factorization systems in categories. Zbl 0361.18001Bousfield, A. K. 61 1977 Homological localization towers for groups and \(\Pi\)-modules. Zbl 0364.20058Bousfield, A. K. 35 1977 On PL De Rham theory and rational homotopy type. Zbl 0338.55008Bousfield, A. K.; Gugenheim, V. K. A. M. 139 1976 The localization of spaces with respect to homology. Zbl 0309.55013Bousfield, A. K. 100 1975 Types of acyclicity. Zbl 0279.55006Bousfield, A. K. 8 1974 Homological localizations of spaces, groups, and \(\pi\)-modules. Zbl 0305.55004Bousfield, A. K. 3 1974 Pairings and products in the homotopy spectral sequence. Zbl 0282.55012Bousfield, A. K.; Kan, D. M. 14 1973 A second quadrant homotopy spectral sequence. Zbl 0259.55010Bousfield, A. K.; Kan, D. M. 12 1973 Correction to “The core of a ring”. Zbl 0271.55008Bousfield, A. K.; Kan, D. M. 1 1973 Homotopy limits, completions and localizations. Zbl 0259.55004Bousfield, A. K.; Kan, D. M. 667 1972 The core of a ring. Zbl 0233.55004Bousfield, A. K.; Kan, D. M. 16 1972 The homotopy spectral sequence of a space with coefficients in a ring. Zbl 0202.22803Bousfield, A. K.; Kan, D. M. 32 1971 Localization and completion in homotopy theory. Zbl 0239.55013Bousfield, A. K.; Kan, D. M. 9 1971 Homotopy with respect to a ring. Zbl 0243.55008Bousfield, A. K.; Kan, D. M. 3 1971 A spectral sequence for the homotopy of nice spaces. Zbl 0209.27403Bousfield, A. K.; Curtis, E. B. 21 1970 Nice homology coalgebras. Zbl 0199.33302Bousfield, A. K. 21 1970 A vanishing theorem for the unstable Adams spectral sequence. Zbl 0187.20301Bousfield, A. K. 4 1970 The mod-\(p\) lower central series and the Adams spectral sequence. Zbl 0158.20502Bousfield, A. K.; Curtis, E. B.; Kan, D. M.; Quillen, D. G.; Rector, D. L.; Schlesinger, J. W. 61 1966 all cited Publications top 5 cited Publications 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 all top 5 Cited in 35 Fields 1,005 Algebraic topology (55-XX) 453 Category theory; homological algebra (18-XX) 162 \(K\)-theory (19-XX) 159 Manifolds and cell complexes (57-XX) 153 Algebraic geometry (14-XX) 151 Group theory and generalizations (20-XX) 94 Associative rings and algebras (16-XX) 66 Commutative algebra (13-XX) 39 General topology (54-XX) 26 Number theory (11-XX) 23 Differential geometry (53-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Functional analysis (46-XX) 16 Nonassociative rings and algebras (17-XX) 15 Topological groups, Lie groups (22-XX) 14 Mathematical logic and foundations (03-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Quantum theory (81-XX) 11 Computer science (68-XX) 10 Combinatorics (05-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 Field theory and polynomials (12-XX) 7 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year