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A. K. Bousfield - Author Profile - zbMATH Open

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Author ID: bousfield.a-k Recent zbMATH articles by "Bousfield, A. K."
Published as: Bousfield, A. K.

Citations contained in zbMATH Open

45 Publications have been cited 2,276 times in 1,602 Documents Cited by Year
Homotopy limits, completions and localizations. Zbl 0259.55004
Bousfield, A. K.; Kan, D. M.

799

1972

The localization of spectra with respect to homology. Zbl 0417.55007
Bousfield, A. K.

195

1979

Homotopy theory of \(\Gamma\)-spaces, spectra, and bisimplicial sets. Zbl 0405.55021
Bousfield, A. K.; Friedlander, E. M.

177

1978

On PL De Rham theory and rational homotopy type. Zbl 0338.55008
Bousfield, A. K.; Gugenheim, V. K. A. M.

174

1976

The localization of spaces with respect to homology. Zbl 0309.55013
Bousfield, A. K.

128

1975

Constructions of factorization systems in categories. Zbl 0361.18001
Bousfield, A. K.

75

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.

72

1966

Localization and periodicity in unstable homotopy theory. Zbl 0839.55008
Bousfield, A. K.

49

1994

Homological localization towers for groups and \(\Pi\)-modules. Zbl 0364.20058
Bousfield, A. K.

43

1977

On the telescopic homotopy theory of spaces. Zbl 0971.55016
Bousfield, A. K.

42

2001

On the homology spectral sequence of a cosimplicial space. Zbl 0623.55009
Bousfield, A. K.

41

1987

The homotopy spectral sequence of a space with coefficients in a ring. Zbl 0202.22803
Bousfield, A. K.; Kan, D. M.

39

1971

Cosimplicial resolutions and homotopy spectral sequences in model categories. Zbl 1065.55012
Bousfield, A. K.

38

2003

Homotopy spectral sequences and obstructions. Zbl 0677.55020
Bousfield, A. K.

37

1989

Homotopical localizations of spaces. Zbl 0886.55011
Bousfield, A. K.

32

1997

A classification of K-local spectra. Zbl 0713.55007
Bousfield, A. K.

27

1990

The Boolean algebra of spectra. Zbl 0421.55002
Bousfield, A. K.

26

1979

A spectral sequence for the homotopy of nice spaces. Zbl 0209.27403
Bousfield, A. K.; Curtis, E. B.

23

1970

On the homotopy theory of K-local spectra at an odd prime. Zbl 0585.55004
Bousfield, A. K.

22

1985

Nice homology coalgebras. Zbl 0199.33302
Bousfield, A. K.

21

1970

The core of a ring. Zbl 0233.55004
Bousfield, A. K.; Kan, D. M.

21

1972

The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces. Zbl 0933.57034
Bousfield, A. K.

15

1999

A second quadrant homotopy spectral sequence. Zbl 0259.55010
Bousfield, A. K.; Kan, D. M.

15

1973

K-localizations and K-equivalences of infinite loop spaces. Zbl 0511.55007
Bousfield, A. K.

14

1982

On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces. Zbl 0845.55010
Bousfield, A. K.

14

1996

Localization and completion in homotopy theory. Zbl 0239.55013
Bousfield, A. K.; Kan, D. M.

13

1971

Pairings and products in the homotopy spectral sequence. Zbl 0282.55012
Bousfield, A. K.; Kan, D. M.

13

1973

On homology equivalences and homological localizations of spaces. Zbl 0505.55013
Bousfield, A. K.

11

1982

On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces. Zbl 0867.55005
Bousfield, A. K.

11

1996

On the \(p\)-adic completions of nonnilpotent spaces. Zbl 0763.55008
Bousfield, A. K.

10

1992

Unstable localization and periodicity. Zbl 0860.55012
Bousfield, A. K.

10

1996

Uniqueness of infinite deloopings for K-theoretic spaces. Zbl 0664.55006
Bousfield, A. K.

9

1987

On \(K(n)\)-equivalences of spaces. Zbl 0939.55004
Bousfield, A. K.

9

1999

Types of acyclicity. Zbl 0279.55006
Bousfield, A. K.

9

1974

On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces. Zbl 1098.55009
Bousfield, A. K.

8

2005

The rational homology of function spaces. Zbl 0674.55008
Bousfield, A. K.; Peterson, C.; Smith, Larry

6

1989

Homological localizations of spaces, groups, and \(\pi\)-modules. Zbl 0305.55004
Bousfield, A. K.

5

1974

A vanishing theorem for the unstable Adams spectral sequence. Zbl 0187.20301
Bousfield, A. K.

4

1970

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.

3

2007

On the comparison of stable and unstable \(p\)-completion. Zbl 1410.55005
Barthel, Tobias; Bousfield, A. K.

2

2019

Correction to: “The Boolean algebra of spectra”. Zbl 0532.55005
Bousfield, A. K.

2

1983

On \(K_ *\)-local stable homotopy theory. Zbl 0754.55006
Bousfield, A. K.

2

1992

Correction to “The core of a ring”. Zbl 0271.55008
Bousfield, A. K.; Kan, D. M.

1

1973

On the unstable Adams spectral sequence for \(SO\) and \(U\), and splittings of unstable Ext groups. Zbl 0842.55013
Bousfield, A. K.; Davis, Donald M.

1

1992

On the comparison of stable and unstable \(p\)-completion. Zbl 1410.55005
Barthel, Tobias; Bousfield, A. K.

2

2019

On the 2-adic \(K\)-localizations of \(H\)-spaces. Zbl 1113.55005
Bousfield, A. K.

3

2007

On the 2-primary \(v_{1}\)-periodic homotopy groups of spaces. Zbl 1098.55009
Bousfield, A. K.

8

2005

Cosimplicial resolutions and homotopy spectral sequences in model categories. Zbl 1065.55012
Bousfield, A. K.

38

2003

On the telescopic homotopy theory of spaces. Zbl 0971.55016
Bousfield, A. K.

42

2001

The \(K\)-theory localizations and \(v_1\)-periodic homotopy groups of H-spaces. Zbl 0933.57034
Bousfield, A. K.

15

1999

On \(K(n)\)-equivalences of spaces. Zbl 0939.55004
Bousfield, A. K.

9

1999

Homotopical localizations of spaces. Zbl 0886.55011
Bousfield, A. K.

32

1997

On \(\lambda\)-rings and the \(K\)-theory of infinite loop spaces. Zbl 0845.55010
Bousfield, A. K.

14

1996

On \(p\)-adic \(\lambda\)-rings and the \(K\)-theory of \(H\)-spaces. Zbl 0867.55005
Bousfield, A. K.

11

1996

Unstable localization and periodicity. Zbl 0860.55012
Bousfield, A. K.

10

1996

Localization and periodicity in unstable homotopy theory. Zbl 0839.55008
Bousfield, A. K.

49

1994

On the \(p\)-adic completions of nonnilpotent spaces. Zbl 0763.55008
Bousfield, A. K.

10

1992

On \(K_ *\)-local stable homotopy theory. Zbl 0754.55006
Bousfield, A. K.

2

1992

On the unstable Adams spectral sequence for \(SO\) and \(U\), and splittings of unstable Ext groups. Zbl 0842.55013
Bousfield, A. K.; Davis, Donald M.

1

1992

A classification of K-local spectra. Zbl 0713.55007
Bousfield, A. K.

27

1990

Homotopy spectral sequences and obstructions. Zbl 0677.55020
Bousfield, A. K.

37

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.

41

1987

Uniqueness of infinite deloopings for K-theoretic spaces. Zbl 0664.55006
Bousfield, A. K.

9

1987

On the homotopy theory of K-local spectra at an odd prime. Zbl 0585.55004
Bousfield, A. K.

22

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.

14

1982

On homology equivalences and homological localizations of spaces. Zbl 0505.55013
Bousfield, A. K.

11

1982

The localization of spectra with respect to homology. Zbl 0417.55007
Bousfield, A. K.

195

1979

The Boolean algebra of spectra. Zbl 0421.55002
Bousfield, A. K.

26

1979

Homotopy theory of \(\Gamma\)-spaces, spectra, and bisimplicial sets. Zbl 0405.55021
Bousfield, A. K.; Friedlander, E. M.

177

1978

Constructions of factorization systems in categories. Zbl 0361.18001
Bousfield, A. K.

75

1977

Homological localization towers for groups and \(\Pi\)-modules. Zbl 0364.20058
Bousfield, A. K.

43

1977

On PL De Rham theory and rational homotopy type. Zbl 0338.55008
Bousfield, A. K.; Gugenheim, V. K. A. M.

174

1976

The localization of spaces with respect to homology. Zbl 0309.55013
Bousfield, A. K.

128

1975

Types of acyclicity. Zbl 0279.55006
Bousfield, A. K.

9

1974

Homological localizations of spaces, groups, and \(\pi\)-modules. Zbl 0305.55004
Bousfield, A. K.

5

1974

A second quadrant homotopy spectral sequence. Zbl 0259.55010
Bousfield, A. K.; Kan, D. M.

15

1973

Pairings and products in the homotopy spectral sequence. Zbl 0282.55012
Bousfield, A. K.; Kan, D. M.

13

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.

799

1972

The core of a ring. Zbl 0233.55004
Bousfield, A. K.; Kan, D. M.

21

1972

The homotopy spectral sequence of a space with coefficients in a ring. Zbl 0202.22803
Bousfield, A. K.; Kan, D. M.

39

1971

Localization and completion in homotopy theory. Zbl 0239.55013
Bousfield, A. K.; Kan, D. M.

13

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.

23

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.

72

1966

all top 5

Cited by 1,120 Authors

29 Dwyer, William G.
23 Blanc, David Abraham
23 Scherer, Jérôme
22 Mikhaĭlov, Roman Valer’evich
19 Bousfield, A. K.
18 Castellana, Natàlia
17 Félix, Yves
16 Casacuberta, Carles
16 Dror Farjoun, Emmanuel
16 Ivanov, Sergei Olegovich
16 Kan, Daniel Marinus
14 Levi, Ran
13 Barthel, Tobias
13 Notbohm, Dietrich
12 Broto, Carles
12 Flores, Ramón J.
12 Murillo-Mas, Aniceto
12 Oliver, Bob
11 Friedlander, Eric Mark
11 Goerss, Paul G.
11 Golasiński, Marek
11 Mathew, Akhil
11 Porter, Timothy
11 Sati, Hisham
11 Wu, Jie
10 Chorny, Boris
10 Kuribayashi, Katsuhiko
10 Libman, Assaf
10 Mahowald, Mark Edward
9 Baues, Hans-Joachim
9 Cegarra, Antonio Martínez
9 Davis, Donald M.
9 Jardine, John Frederick
9 Rodríguez, José Luis
9 Rognes, John
9 Rosický, Jiří
9 Shipley, Brooke E.
9 Thomas, Jean-Claude
9 Weiss, Michael S.
8 Chachólski, Wojciech
8 Garner, Richard
8 Gutiérrez, Javier J.
8 Halperin, Stephen
8 Isaksen, Daniel C.
8 Kishimoto, Daisuke
8 Mandell, Michael A.
8 Neeman, Amnon
8 Østvær, Paul Arne
8 Schlank, Tomer M.
8 Schlichtkrull, Christian
8 Singer, William M.
8 Vogt, Rainer M.
7 Barnes, David
7 Benson, David John
7 Berrick, A. Jon
7 Biedermann, Georg
7 Blumberg, Andrew J.
7 Buijs, Urtzi
7 Dugger, Daniel
7 Greenlees, John P. C.
7 Grodal, Jesper
7 Heard, Drew
7 Hopkins, Michael Jerome
7 Hovey, Mark A.
7 Lee, Dae-Woong
7 Levine, Marc Noel
7 Møller, Jesper Michael
7 Noel, Justin
7 Pridham, Jonathan Paul
7 Roitzheim, Constanze Susanne Ruth
7 Smith, Larry
7 Šťovíček, Jan
7 Tanré, Daniel
7 Thomason, Robert Wayne
7 Turner, James M.
6 Carlsson, Gunnar E.
6 Chataur, David
6 Cordier, Jean-Marc
6 Cortiñas, Guillermo H.
6 Crespo, Juan Alfonso
6 Fiedorowicz, Zbigniew
6 Hamanaka, Hiroaki
6 Hess, Kathryn P.
6 Hilton, Peter John
6 Kitchloo, Nitu
6 Kono, Akira
6 Krause, Henning
6 Kříž, Igor
6 Kuhn, Nicholas J.
6 Lambrechts, Pascal
6 Lawson, Tyler Douglas
6 Lazarev, Andrey
6 Lomonaco, Luciano Amito
6 Lupton, Gregory M.
6 Meier, Lennart
6 Morel, Fabien
6 Neumann, Frank
6 Nguyễn Hu’u Viêt Hu’ng
6 Orr, Kent E.
6 Patchkoria, Irakli
...and 1,020 more Authors

all top 5

Cited in 40 Fields

1,233 Algebraic topology (55-XX)
564 Category theory; homological algebra (18-XX)
208 \(K\)-theory (19-XX)
203 Algebraic geometry (14-XX)
202 Manifolds and cell complexes (57-XX)
187 Group theory and generalizations (20-XX)
120 Associative rings and algebras (16-XX)
81 Commutative algebra (13-XX)
41 Number theory (11-XX)
41 General topology (54-XX)
31 Differential geometry (53-XX)
30 Nonassociative rings and algebras (17-XX)
29 Global analysis, analysis on manifolds (58-XX)
25 Functional analysis (46-XX)
25 Quantum theory (81-XX)
21 Mathematical logic and foundations (03-XX)
21 Topological groups, Lie groups (22-XX)
16 Several complex variables and analytic spaces (32-XX)
14 Combinatorics (05-XX)
13 Computer science (68-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Convex and discrete geometry (52-XX)
8 Field theory and polynomials (12-XX)
5 Relativity and gravitational theory (83-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 History and biography (01-XX)
3 General algebraic systems (08-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Geometry (51-XX)
2 General and overarching topics; collections (00-XX)
2 Partial differential equations (35-XX)
2 Mechanics of particles and systems (70-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year