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Vogt, Rainer M.

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Author ID: vogt.rainer-m Recent zbMATH articles by "Vogt, Rainer M."
Published as: Vogt, R.; Vogt, R. M.; Vogt, Rainer; Vogt, Rainer M.
External Links: MGP · Wikidata · GND
Documents Indexed: 53 Publications since 1968, including 2 Books
Reviewing Activity: 110 Reviews

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 736 times in 570 Documents Cited by Year
Homotopy invariant algebraic structures on topological spaces. Zbl 0285.55012
Boardman, J. M.; Vogt, R. M.
294
1973
Homotopy limits and colimits. Zbl 0276.55006
Vogt, Rainer M.
69
1973
Convenient categories of topological spaces for homotopy theory. Zbl 0237.54001
Vogt, Rainer M.
54
1971
Homotopy-everything H-spaces. Zbl 0165.26204
Boardman, J. M.; Vogt, R. M.
47
1968
Iterated monoidal categories. Zbl 1030.18006
Balteanu, C.; Fiedorowicz, Z.; Schwänzl, R.; Vogt, R.
38
2003
Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures. Zbl 0766.55006
Hollender, J.; Vogt, R. M.
29
1992
Boardman’s stable homotopy category. Zbl 0224.55014
Vogt, Rainer
28
1970
A note on homotopy equivalences. Zbl 0241.55009
Vogt, R. M.
17
1972
Cofibrant operads and universal \(E_{\infty}\) operads. Zbl 1076.18007
Vogt, R. M.
14
2003
\(THH(R) \cong R \otimes S^ 1\) for \(E_ \infty\) ring spectra. Zbl 0885.55004
McClure, J.; Schwänzl, R.; Vogt, R.
14
1997
Colimits, Stanley-Reisner algebras, and loop spaces. Zbl 1049.55010
Panov, Taras; Ray, Nigel; Vogt, Rainer
9
2004
Commuting homotopy limits. Zbl 0337.55013
Vogt, Rainer M.
9
1977
On the multiplicative structure of topological Hochschild homology. Zbl 1141.55005
Brun, Morten; Fiedorowicz, Zbigniew; Vogt, Rainer M.
8
2007
The categories of \(A_{\infty}\) and \(E_{\infty}\)-monoids and ring spaces as closed simplicial and topological model categories. Zbl 0733.55008
Schwänzl, R.; Vogt, R. M.
8
1991
An additivity theorem for the interchange of \(E_n\) structures. Zbl 1318.55012
Fiedorowicz, Z.; Vogt, R. M.
7
2015
Adjoining roots of unity to \(E_\infty\) ring spectra in good cases – a remark. Zbl 0944.55006
Schwänzl, R.; Vogt, R. M.; Waldhausen, F.
7
1999
Tensor products of theories, application to infinite loop spaces. Zbl 0406.18001
Boardman, J. M.; Vogt, R. M.
7
1979
Strong cofibrations and fibrations in enriched categories. Zbl 1016.55003
Schwänzl, R.; Vogt, R. M.
5
2002
Topological Hochschild homology. Zbl 1047.55005
Schwänzl, R.; Vogt, R. M.; Waldhausen, F.
5
2000
Convenient categories of topological spaces for algebraic topology. Zbl 0226.54022
Vogt, R. M.
5
1970
The HELP-lemma and its converse in Quillen model categories. Zbl 1278.55016
Vogt, R. M.
4
2011
Localization of algebras over coloured operads. Zbl 1196.18005
Casacuberta, Carles; Gutiérrez, Javier J.; Moerdijk, Ieke; Vogt, Rainer M.
4
2010
Homotopy homomorphisms and the Hammock localization. Zbl 0853.55010
Schwänzl, R.; Vogt, R.
4
1992
An un-delooped version of algebraic \(K\)-theory. Zbl 0757.19003
Gunnarsson, T.; Schwänzl, R.; Vogt, R. M.; Waldhausen, F.
4
1992
Simplicial \(n\)-fold monoidal categories model all loop spaces. Zbl 1052.18002
Fiedorowicz, Z.; Vogt, R.
3
2003
Fractal dimensions for dissipative sets. Zbl 0909.28005
Stratmann, B.; Vogt, R.
3
1997
Comultiplication and suspension. Zbl 0874.55010
Klein, J.; Schwänzl, R.; Vogt, R. M.
3
1997
MacLane homology and topological Hochschild homology. Zbl 0846.55007
Fiedorowicz, Z.; Pirashvili, T.; Schwänzl, R.; Vogt, R.; Waldhausen, F.
3
1995
Non-connective delooping of K-theory of an \(A_{\infty}\) ring space. Zbl 0659.55007
Fiedorowicz, Z.; Schwänzl, R.; Steiner, R.; Vogt, R.
3
1990
\(E_{\infty}\)-monoids with coherent homotopy inverses are Abelian groups. Zbl 0688.55009
Schwänzl, R.; Vogt, R. M.
3
1989
Homotopy colimits of algebras over Cat-operads and iterated loop spaces. Zbl 1284.18019
Fiedorowicz, Z.; Stelzer, M.; Vogt, R. M.
2
2013
A model structure for coloured operads in symmetric spectra. Zbl 1248.18010
Gutiérrez, Javier J.; Vogt, Rainer M.
2
2012
Dold spaces in homotopy theory. Zbl 1177.55012
Schwamberger, Eugenia; Vogt, Rainer M.
2
2009
Introduction to algebra over “brave new rings”. Zbl 0969.55003
Vogt, R. M.
2
1999
My time as Mike Boardman’s student and our work on infinite loop spaces. Zbl 0940.01013
Vogt, R. M.
2
1999
Basic constructions in the \(K\)-theory of homotopy ring spaces. Zbl 0790.19001
Schwänzl, R.; Vogt, R. M.
2
1994
Volodin \(K\)-theory of \(A_{\infty}\)-ring spaces. Zbl 0776.55007
Fiedorowicz, Z.; Ogle, C.; Vogt, R. M.
2
1993
\(E_{\infty}\)-spaces and injective \(\Gamma\)-spaces. Zbl 0649.57018
Schwänzl, R.; Vogt, R. M.
2
1988
A remark on \(A_n\)-spaces and loop spaces. Zbl 0338.55009
Vogt, Rainer M.
2
1976
Homotopy limits and colimits. Zbl 0278.55012
Vogt, R. M.
2
1973
Rectification of weak product algebras over an operad in Cat and Top and applications. Zbl 1354.18014
Fiedorowicz, Zbigniew; Stelzer, Manfred; Vogt, Rainer M.
1
2016
Homotopy homomorphisms and the classifying space functor. Zbl 1331.55008
Vogt, R. M.
1
2015
Associahedra and weak monoidal structures on categories. Zbl 1276.18007
Fiedorowicz, Zbigniew; Gubkin, Steven; Vogt, Rainer M.
1
2012
Hermitian \(K\)-theory of \(A_{\infty{}}\) rings. Homotopy invariance and the hyperbolic map. Zbl 0768.55010
Fiedorowicz, Z.; Schwänzl, R.; Vogt, R. M.
1
1992
Hermitian structures on \(A_{\infty{}}\) ring spaces. Zbl 0768.55009
Fiedorowicz, Z.; Schwänzl, R.; Vogt, R. M.
1
1992
Homotopy ring spaces and their matrix rings. Zbl 0735.55007
Schwänzl, R.; Vogt, R. M.
1
1991
A note on infinite loop space multiplications. Zbl 0515.55006
Vogt, Rainer M.
1
1982
On the dual of a lemma of Milnor. Zbl 0231.55012
Vogt, R. M.
1
1970
Rectification of weak product algebras over an operad in Cat and Top and applications. Zbl 1354.18014
Fiedorowicz, Zbigniew; Stelzer, Manfred; Vogt, Rainer M.
1
2016
An additivity theorem for the interchange of \(E_n\) structures. Zbl 1318.55012
Fiedorowicz, Z.; Vogt, R. M.
7
2015
Homotopy homomorphisms and the classifying space functor. Zbl 1331.55008
Vogt, R. M.
1
2015
Homotopy colimits of algebras over Cat-operads and iterated loop spaces. Zbl 1284.18019
Fiedorowicz, Z.; Stelzer, M.; Vogt, R. M.
2
2013
A model structure for coloured operads in symmetric spectra. Zbl 1248.18010
Gutiérrez, Javier J.; Vogt, Rainer M.
2
2012
Associahedra and weak monoidal structures on categories. Zbl 1276.18007
Fiedorowicz, Zbigniew; Gubkin, Steven; Vogt, Rainer M.
1
2012
The HELP-lemma and its converse in Quillen model categories. Zbl 1278.55016
Vogt, R. M.
4
2011
Localization of algebras over coloured operads. Zbl 1196.18005
Casacuberta, Carles; Gutiérrez, Javier J.; Moerdijk, Ieke; Vogt, Rainer M.
4
2010
Dold spaces in homotopy theory. Zbl 1177.55012
Schwamberger, Eugenia; Vogt, Rainer M.
2
2009
On the multiplicative structure of topological Hochschild homology. Zbl 1141.55005
Brun, Morten; Fiedorowicz, Zbigniew; Vogt, Rainer M.
8
2007
Colimits, Stanley-Reisner algebras, and loop spaces. Zbl 1049.55010
Panov, Taras; Ray, Nigel; Vogt, Rainer
9
2004
Iterated monoidal categories. Zbl 1030.18006
Balteanu, C.; Fiedorowicz, Z.; Schwänzl, R.; Vogt, R.
38
2003
Cofibrant operads and universal \(E_{\infty}\) operads. Zbl 1076.18007
Vogt, R. M.
14
2003
Simplicial \(n\)-fold monoidal categories model all loop spaces. Zbl 1052.18002
Fiedorowicz, Z.; Vogt, R.
3
2003
Strong cofibrations and fibrations in enriched categories. Zbl 1016.55003
Schwänzl, R.; Vogt, R. M.
5
2002
Topological Hochschild homology. Zbl 1047.55005
Schwänzl, R.; Vogt, R. M.; Waldhausen, F.
5
2000
Adjoining roots of unity to \(E_\infty\) ring spectra in good cases – a remark. Zbl 0944.55006
Schwänzl, R.; Vogt, R. M.; Waldhausen, F.
7
1999
Introduction to algebra over “brave new rings”. Zbl 0969.55003
Vogt, R. M.
2
1999
My time as Mike Boardman’s student and our work on infinite loop spaces. Zbl 0940.01013
Vogt, R. M.
2
1999
\(THH(R) \cong R \otimes S^ 1\) for \(E_ \infty\) ring spectra. Zbl 0885.55004
McClure, J.; Schwänzl, R.; Vogt, R.
14
1997
Fractal dimensions for dissipative sets. Zbl 0909.28005
Stratmann, B.; Vogt, R.
3
1997
Comultiplication and suspension. Zbl 0874.55010
Klein, J.; Schwänzl, R.; Vogt, R. M.
3
1997
MacLane homology and topological Hochschild homology. Zbl 0846.55007
Fiedorowicz, Z.; Pirashvili, T.; Schwänzl, R.; Vogt, R.; Waldhausen, F.
3
1995
Basic constructions in the \(K\)-theory of homotopy ring spaces. Zbl 0790.19001
Schwänzl, R.; Vogt, R. M.
2
1994
Volodin \(K\)-theory of \(A_{\infty}\)-ring spaces. Zbl 0776.55007
Fiedorowicz, Z.; Ogle, C.; Vogt, R. M.
2
1993
Modules of topological spaces, applications to homotopy limits and \(E_ \infty\) structures. Zbl 0766.55006
Hollender, J.; Vogt, R. M.
29
1992
Homotopy homomorphisms and the Hammock localization. Zbl 0853.55010
Schwänzl, R.; Vogt, R.
4
1992
An un-delooped version of algebraic \(K\)-theory. Zbl 0757.19003
Gunnarsson, T.; Schwänzl, R.; Vogt, R. M.; Waldhausen, F.
4
1992
Hermitian \(K\)-theory of \(A_{\infty{}}\) rings. Homotopy invariance and the hyperbolic map. Zbl 0768.55010
Fiedorowicz, Z.; Schwänzl, R.; Vogt, R. M.
1
1992
Hermitian structures on \(A_{\infty{}}\) ring spaces. Zbl 0768.55009
Fiedorowicz, Z.; Schwänzl, R.; Vogt, R. M.
1
1992
The categories of \(A_{\infty}\) and \(E_{\infty}\)-monoids and ring spaces as closed simplicial and topological model categories. Zbl 0733.55008
Schwänzl, R.; Vogt, R. M.
8
1991
Homotopy ring spaces and their matrix rings. Zbl 0735.55007
Schwänzl, R.; Vogt, R. M.
1
1991
Non-connective delooping of K-theory of an \(A_{\infty}\) ring space. Zbl 0659.55007
Fiedorowicz, Z.; Schwänzl, R.; Steiner, R.; Vogt, R.
3
1990
\(E_{\infty}\)-monoids with coherent homotopy inverses are Abelian groups. Zbl 0688.55009
Schwänzl, R.; Vogt, R. M.
3
1989
\(E_{\infty}\)-spaces and injective \(\Gamma\)-spaces. Zbl 0649.57018
Schwänzl, R.; Vogt, R. M.
2
1988
A note on infinite loop space multiplications. Zbl 0515.55006
Vogt, Rainer M.
1
1982
Tensor products of theories, application to infinite loop spaces. Zbl 0406.18001
Boardman, J. M.; Vogt, R. M.
7
1979
Commuting homotopy limits. Zbl 0337.55013
Vogt, Rainer M.
9
1977
A remark on \(A_n\)-spaces and loop spaces. Zbl 0338.55009
Vogt, Rainer M.
2
1976
Homotopy invariant algebraic structures on topological spaces. Zbl 0285.55012
Boardman, J. M.; Vogt, R. M.
294
1973
Homotopy limits and colimits. Zbl 0276.55006
Vogt, Rainer M.
69
1973
Homotopy limits and colimits. Zbl 0278.55012
Vogt, R. M.
2
1973
A note on homotopy equivalences. Zbl 0241.55009
Vogt, R. M.
17
1972
Convenient categories of topological spaces for homotopy theory. Zbl 0237.54001
Vogt, Rainer M.
54
1971
Boardman’s stable homotopy category. Zbl 0224.55014
Vogt, Rainer
28
1970
Convenient categories of topological spaces for algebraic topology. Zbl 0226.54022
Vogt, R. M.
5
1970
On the dual of a lemma of Milnor. Zbl 0231.55012
Vogt, R. M.
1
1970
Homotopy-everything H-spaces. Zbl 0165.26204
Boardman, J. M.; Vogt, R. M.
47
1968
all top 5

Cited by 549 Authors

25 Vogt, Rainer M.
15 Porter, Timothy
10 Blanc, David Abraham
10 Cordier, Jean-Marc
10 Fiedorowicz, Zbigniew
10 Schwänzl, Roland
9 Cohen, Frederick Ronald
9 Markl, Martin
8 Batanin, Mikhail A.
7 Giraudo, Samuele
6 Blumberg, Andrew J.
6 Forcey, Stefan
6 Fresse, Benoit
6 May, Jon Peter
5 Ayala, David
5 Booth, Peter I.
5 Francis, John
5 Golasiński, Marek
5 Gutiérrez, Javier J.
5 Hastings, Harold M.
5 Madsen, Ib Henning
5 Mandell, Michael A.
5 Moerdijk, Ieke
5 Petrić, Zoran
5 Schlichtkrull, Christian
4 Angeltveit, Vigleik
4 Berger, Clemens
4 Berrick, A. Jon
4 Burghelea, Dan
4 Cohen, Fred R.
4 Dunn, Gerald
4 Elmendorf, A. D.
4 Garner, Richard
4 Hardie, Keith A.
4 Kuhn, Nicholas J.
4 Lawson, Tyler Douglas
4 Notbohm, Dietrich
4 Richter, Birgit
4 Sagave, Steffen
4 Stasheff, James D.
4 Stelzer, Manfred
4 Szymik, Markus
4 Tanaka, Hiro Lee
4 Vallette, Bruno
3 Aguilar, Marcelo A.
3 Bahri, Anthony P.
3 Baues, Hans-Joachim
3 Bendersky, Martin
3 Bremner, Murray R.
3 Brun, Morten
3 Cegarra, Antonio Martínez
3 Dwyer, William G.
3 Gepner, David
3 Gitler Hammer, Samuel Carlos
3 Groth, Moritz
3 Hackney, Philip
3 Haugseng, Rune
3 Herrlich, Horst
3 Hirashima, Yasumasa
3 Johnson, Mark W.
3 Joyal, André
3 Kamps, Klaus Heiner
3 Kapranov, Mikhail M.
3 Kaufmann, Ralph M.
3 Klein, John Robert
3 Levi, Ran
3 Livernet, Muriel
3 Mann, Benjamin Michael
3 McClure, James E.
3 Morava, Jack Johnson
3 Oda, Nobuyuki
3 Ray, Nigel
3 Rezk, Charles
3 Riehl, Emily
3 Robinson, Christopher Alan
3 Sarkar, Sucharit
3 Schultz, Reinhard E.
3 Shoikhet, Boris B.
3 Smirnov, Vladimir Alekseevich
3 Taylor, Laurence Robert
3 Todd, Mike
3 Turchin, Victor Éduardovich
3 Turner, James M.
3 Weiss, Ittay
3 Westerland, Craig
3 Willwacher, Thomas Hans
3 Živaljević, Rade T.
2 Ageev, Sergei M.
2 Antonelli, Peter Louis
2 Ara, Dimitri
2 Badzioch, Bernard
2 Baez, John C.
2 Baker, Andrew J.
2 Barwick, Clark
2 Basterra, Maria
2 Batanin, Michael A.
2 Bellier-Millès, Joan
2 Berglund, Alexander
2 Bergner, Julie
2 Böhm, Gabriella
...and 449 more Authors
all top 5

Cited in 97 Serials

60 Journal of Pure and Applied Algebra
55 Advances in Mathematics
42 Algebraic & Geometric Topology
41 Transactions of the American Mathematical Society
36 Topology and its Applications
24 Proceedings of the American Mathematical Society
18 Mathematische Zeitschrift
17 Cahiers de Topologie et Géométrie Différentielle Catégoriques
15 Applied Categorical Structures
15 Journal of Homotopy and Related Structures
14 Mathematical Proceedings of the Cambridge Philosophical Society
12 Geometry & Topology
11 Bulletin of the American Mathematical Society
10 Archiv der Mathematik
10 Theory and Applications of Categories
9 Manuscripta Mathematica
9 Journal of the American Mathematical Society
6 Communications in Mathematical Physics
6 Inventiones Mathematicae
6 Mathematische Annalen
5 Journal of Algebra
5 \(K\)-Theory
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Algebraic Combinatorics
5 Journal of Topology
4 Israel Journal of Mathematics
4 Annales de l’Institut Fourier
4 Siberian Mathematical Journal
4 Advances in Applied Mathematics
4 Forum Mathematicum
4 Russian Mathematics
4 Selecta Mathematica. New Series
4 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Communications in Algebra
3 Acta Mathematica
3 European Journal of Combinatorics
3 Journal of Noncommutative Geometry
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Journal of Geometry and Physics
2 Duke Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Semigroup Forum
2 Chinese Science Bulletin
2 Journal of the Egyptian Mathematical Society
2 Documenta Mathematica
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Algebra and its Applications
2 Journal of \(K\)-Theory
2 Higher Structures
1 Bulletin of the Australian Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Theoretical Computer Science
1 Transactions of the Moscow Mathematical Society
1 Annals of Pure and Applied Logic
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Annales Mathématiques Blaise Pascal
1 Izvestiya: Mathematics
1 Representation Theory
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Annals of Mathematics. Second Series
1 Journal of the Institute of Mathematics of Jussieu
1 Proceedings of the Steklov Institute of Mathematics
1 Asian-European Journal of Mathematics
1 Journal of Topology and Analysis
1 EMS Surveys in Mathematical Sciences
1 Journal de l’École Polytechnique – Mathématiques
1 Annals of \(K\)-Theory
all top 5

Cited in 39 Fields

425 Algebraic topology (55-XX)
290 Category theory; homological algebra (18-XX)
88 Manifolds and cell complexes (57-XX)
49 \(K\)-theory (19-XX)
37 Associative rings and algebras (16-XX)
32 Algebraic geometry (14-XX)
32 General topology (54-XX)
29 Group theory and generalizations (20-XX)
23 Commutative algebra (13-XX)
22 Combinatorics (05-XX)
19 Convex and discrete geometry (52-XX)
16 Quantum theory (81-XX)
14 Nonassociative rings and algebras (17-XX)
12 Topological groups, Lie groups (22-XX)
12 Differential geometry (53-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Global analysis, analysis on manifolds (58-XX)
7 Mathematical logic and foundations (03-XX)
6 Several complex variables and analytic spaces (32-XX)
5 General algebraic systems (08-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Number theory (11-XX)
3 History and biography (01-XX)
3 Functional analysis (46-XX)
3 Computer science (68-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Relativity and gravitational theory (83-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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