## Burghelea, Dan

Compute Distance To:
 Author ID: burghelea.dan Published as: Burghelea, Dan; Burghelea, D.
 Documents Indexed: 107 Publications since 1962, including 5 Books 2 Contributions as Editor Co-Authors: 32 Co-Authors with 68 Joint Publications 789 Co-Co-Authors
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### Co-Authors

 41 single-authored 14 Kappeler, Thomas 13 Friedlander, Leonid 9 Deleanu, Aristide 8 Haller, Stefan 6 Antonelli, Peter Louis 6 Kahn, Peter J. 5 Fiedorowicz, Zbigniew 4 Assadi, Amir H. 4 Lashof, Richard K. 3 Saldanha, Nicolau Corção 3 Tomei, Carlos 2 Duma, Andrei 2 Gajda, Wojciech 2 McDonald, Patrick 2 Melrose, Richard Burt 2 Mishchenko, Aleksandr Sergeevich 2 Troitskiĭ, Evgeniĭ Vadimovich 2 Vigué-Poirrier, Micheline 1 Albu, Adrian C. 1 Bojarski, Bogdan 1 Constantinescu, Corneliu 1 Dey, Tamal Krishna 1 Henderson, David Wilson 1 Kuiper, Nicolaas Hendrik 1 Nistor, Victor 1 Ogle, Crichton 1 Popescu, Nicolae 1 Ratiu, Tudor Stefan 1 Rothenberg, Melvin G. 1 Schultz, Reinhard E. 1 Verona, Andrei 1 Weber, Andrzej
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### Serials

 6 Revue Roumaine de Mathématiques Pures et Appliquées 6 Bulletin of the American Mathematical Society 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Journal of Differential Equations 3 Topology 2 Communications in Mathematical Physics 2 Bulletin de la Société Mathématique de France 2 Commentarii Mathematici Helvetici 2 Journal of Differential Geometry 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Algebraic & Geometric Topology 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 2 Academia Republicii Populare Romîne, Studii și Cercetări Matematice 2 Lecture Notes in Mathematics 2 Monografii Matematice (Timișoara) 2 European Journal of Mathematics 2 Trends in Mathematics 1 Letters in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Studii și Cercetări Matematice 1 Discrete & Computational Geometry 1 $$K$$-Theory 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Mathematical Sciences (New York) 1 General Mathematics 1 Analele Universității din Timișoara. Seria Matematică-Informatică 1 Geometry & Topology 1 Communications in Contemporary Mathematics 1 Mathematical Reports 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Comunicările Academiei Republicii Populare Române 1 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 1 Journal of Topology 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Journal of Applied and Computational Topology
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### Fields

 51 Manifolds and cell complexes (57-XX) 45 Algebraic topology (55-XX) 40 Global analysis, analysis on manifolds (58-XX) 11 Category theory; homological algebra (18-XX) 11 Functional analysis (46-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 4 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 679 times in 478 Documents Cited by Year
The cyclic homology of the group rings. Zbl 0595.16022
Burghelea, Dan
1985
Mayer-Vietoris type formula for determinants of elliptic differential operators. Zbl 0759.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
1992
Local homological properties of analytic sets. Zbl 0246.32007
Burghelea, Dan; Verona, Andrei
1972
Cyclic homology and algebraic K-theory of spaces. II. Zbl 0639.55003
Burghelea, D.; Fiedorowicz, Z.
1986
Hilbert manifolds. Zbl 0195.53501
Burghelea, Dan; Kuiper, Nicolaas H.
1969
Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025
Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P.
1996
On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063
Burghelea, D.; Friedlander, L.; Kappeler, T.
1995
Groups of automorphisms of manifolds. With an appendix by E. Peders en. Zbl 0307.57013
Burghelea, Dan; Lashof, Richard; Rothenberg, Melvin
1975
On the determinant of elliptic differential and difference finite operators in vector bundles over $$S^ 1$$. Zbl 0734.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
1991
The homotopy type of the space of diffeomorphisms. I, II. Zbl 0296.58003
Burghelea, Dan; Lashof, Richard
1974
Complex-valued Ray-Singer torsion. Zbl 1131.58020
Burghelea, Dan; Haller, Stefan
2007
The non-finite homotopy type of some diffeomorphism groups. Zbl 0225.57013
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1972
Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029
Burghelea, D.; Friedlander, L.; Kappeler, T.
1996
A model for cyclic homology and algebraic K-theory of 1-connected topological spaces. Zbl 0595.55009
Vigué-Poirrier, Micheline; Burghelea, Dan
1985
Cyclic homology of commutative algebras. I. Zbl 0666.13007
Burghelea, Dan; Vigué Poirrier, Micheline
1988
Complex valued Ray-Singer torsion II. Zbl 1208.58029
Burghelea, Dan; Haller, Stefan
2010
Geometric transfer and the homotopy type of the automorphism groups of a manifold. Zbl 0489.57008
Burghelea, D.; Lashof, R.
1982
Euler structures, the variety of representations and the Milnor-Turaev torsion. Zbl 1204.58027
Burghelea, Dan; Haller, Stefan
2006
Torsion, as a function on the space of representations. Zbl 1147.58035
Burghelea, Dan; Haller, Stefan
2008
The concordance-homotopy groups of geometric automorphism groups. Zbl 0222.57001
Antonelli, Peter L.; Burghelea, Dan; Kahn, Peter J.
1971
Stability of concordances and the suspension homomorphism. Zbl 0393.55009
Burghelea, D.; Lashof, R.
1977
Topological persistence for circle-valued maps. Zbl 1275.55009
Burghelea, Dan; Dey, Tamal K.
2013
Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
1999
Hermitian algebraic K-theory of simplicial rings and topological spaces. Zbl 0597.18006
Burghelea, D.; Fiedorowicz, Z.
1985
Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces. Zbl 0726.55007
Burghelea, D.; Fiedorowicz, Z.; Gajda, W.
1991
Topology of angle valued maps, bar codes and Jordan blocks. Zbl 1404.55009
Burghelea, Dan; Haller, Stefan
2017
On the topology and analysis of a closed one form. I. (Novikov’s theory revisited). Zbl 1017.57013
Burghelea, Dan; Haller, Stefan
2001
Dynamics, Laplace transform and spectral geometry. Zbl 1156.57022
Burghelea, Dan; Haller, Stefan
2008
Smoothings and homeomorphisms for Hilbert manifolds. Zbl 0211.56004
Burghelea, D.; Henderson, D.
1970
Gromoll groups, Diff $$S^ n$$ and bilinear constructions of exotic spheres. Zbl 0195.53303
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1970
The Künneth formula in cyclic homology. Zbl 0603.18007
Burghelea, Dan; Ogle, Crichton
1986
Cyclic homology and the algebraic K-theory of spaces. I. Zbl 0615.55009
Burghelea, Dan
1986
On the semisimple degree of symmetry. Zbl 0321.57025
Burghelea, Dan; Schultz, Reinhard
1975
Removing metric anomalies from Ray-Singer torsion. Zbl 0946.58026
Burghelea, D.
1999
Power maps and epicyclic spaces. Zbl 0827.55004
Burghelea, D.; Fiedorowicz, Z.; Gajda, W.
1994
Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm–Liouville operators. Zbl 1025.34023
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos
2003
A refinement of Betti numbers and homology in the presence of a continuous function. I. Zbl 1378.55003
Burghelea, Dan
2017
Diffeomorphisms for Hilbert manifolds and handle decomposition. Zbl 0197.20603
Burghelea, D.
1970
Regularized determinants for pseudodifferential operators in vector bundles over $$S^ 1$$. Zbl 0784.35126
Burghelea, D.; Friedlander, L.; Kappeler, T.
1993
Relative torsion. Zbl 0994.58018
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2001
The topology of the monodromy map of a second order ODE. Zbl 1108.34007
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos
2006
The homotopy category of spectra. I. Zbl 0164.23802
Burghelea, Dan; Deleanu, Aristide
1967
Free differentiable S$$^1$$ and S$$^3$$ actions on homotopy spheres. Zbl 0247.57009
Burghelea, Dan
1972
On the homotopy type of $$\text{Diff}(M^n)$$ and connected problems. Zbl 0258.57004
Burghelea, Dan
1973
The rational homotopy groups of Diff($$M$$) and Homeo($$M^n$$) in the stability range. Zbl 0421.58008
Burghelea, D.
1979
Examples of asymmetric differentiable manifolds. Zbl 0437.57021
1981
The geometry of the critical set of nonlinear periodic Sturm-Liouville operators. Zbl 1167.34040
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos
2009
The structure of block-automorphisms of $$M\times S^1$$. Zbl 0344.57003
Burghelea, D.
1977
Automorphisms of manifolds. Zbl 0402.57033
Burghelea, Dan
1978
Hermitian algebraic K-theory of topological spaces. Zbl 0582.55007
Burghelea, D.; Fiedorowicz, Z.
1984
New invariants for a real valued and angle valued map (An alternative to Morse-Novikov theory). Zbl 1389.55001
Burghelea, Dan
2017
Erratum: On the determinant of elliptic differential and finite difference operators in vector bundles over $$S^ 1$$. Zbl 0764.58032
Burghelea, D.; Friedlander, L.; Kappeler, Th.
1992
Some rational computations of the Waldhausen algebraic K theory. Zbl 0413.57024
Burghelea, Dan
1979
Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
1998
On the functional logdet and related flows on the space of closed embedded curves on $$S^ 2$$. Zbl 0805.58062
Burghelea, Dan; Kappeler, Thomas; McDonald, Patrick; Friedlander, Leonid
1994
Imbedding Hilbert manifold with given normal bundle. Zbl 0184.27104
Burghelea, Dan
1970
The nonfinite type of some $$Diff_ 0M^ n$$. Zbl 0204.56601
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1970
The homotopy category of spectra. II. Zbl 0207.21901
Burghelea, Dan; Deleanu, Aristide
1968
Concordance-homotopy groups and the nonfinite type of some Diff $$_ 0M^ n$$. Zbl 0218.57019
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1971
A refinement of Betti numbers and homology in the presence of a continuous function, II: The case of an angle-valued map. Zbl 1402.55004
Burghelea, Dan
2018
Multiplicities of the eigenvalues of the discrete Schrödinger equation in any dimension. Zbl 0641.39002
Burghelea, Dan; Kappeler, Thomas
1988
New topological invariants for real- and angle-valued maps. An alternative to Morse-Novikov theory. Zbl 1384.58001
Burghelea, Dan
2018
On the decomposition of the automorphisms-group of $$M\times S^1$$. Zbl 0408.58016
Burghelea, Dan
1977
Lectures on Witten-Helffer-Sjöstrand theory. Zbl 0936.58008
Burghelea, Dan
1997
A Riemannian invariant, Euler structures and some topological applications. Zbl 1130.57036
Burghelea, Dan; Haller, Stefan
2006
On the space of trajectories of a generic gradient like vector field. Zbl 1240.37016
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2010
On certain two-space homology-cohomology groups. Zbl 0188.28403
Burghelea, D.; Deleanu, A.
1966
The spectral sequence of Shih Weishu and the generalized cohomology theories. I. Zbl 0197.49401
Burghelea, D.; Deleanu, A.
1966
The homotopy category of spectra. III. Zbl 0207.21902
Burghelea, Dan; Deleanu, Aristide
1969
The free loop space. I: Algebraic topology. Zbl 0689.55016
Burghelea, D.
1989
The nontriviality of the first rational homology group of some connected invariant subsets of periodic transformations. Zbl 0522.57035
1983
Converting compact ANR fibrations into locally trivial bundles with compact manifolds as fibres. Zbl 0524.55019
Burghelea, D.
1983
A refinement of Betti numbers and homology in the presence of a continuous function, II: The case of an angle-valued map. Zbl 1402.55004
Burghelea, Dan
2018
New topological invariants for real- and angle-valued maps. An alternative to Morse-Novikov theory. Zbl 1384.58001
Burghelea, Dan
2018
Topology of angle valued maps, bar codes and Jordan blocks. Zbl 1404.55009
Burghelea, Dan; Haller, Stefan
2017
A refinement of Betti numbers and homology in the presence of a continuous function. I. Zbl 1378.55003
Burghelea, Dan
2017
New invariants for a real valued and angle valued map (An alternative to Morse-Novikov theory). Zbl 1389.55001
Burghelea, Dan
2017
Topological persistence for circle-valued maps. Zbl 1275.55009
Burghelea, Dan; Dey, Tamal K.
2013
Complex valued Ray-Singer torsion II. Zbl 1208.58029
Burghelea, Dan; Haller, Stefan
2010
On the space of trajectories of a generic gradient like vector field. Zbl 1240.37016
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2010
The geometry of the critical set of nonlinear periodic Sturm-Liouville operators. Zbl 1167.34040
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos
2009
Torsion, as a function on the space of representations. Zbl 1147.58035
Burghelea, Dan; Haller, Stefan
2008
Dynamics, Laplace transform and spectral geometry. Zbl 1156.57022
Burghelea, Dan; Haller, Stefan
2008
Complex-valued Ray-Singer torsion. Zbl 1131.58020
Burghelea, Dan; Haller, Stefan
2007
Euler structures, the variety of representations and the Milnor-Turaev torsion. Zbl 1204.58027
Burghelea, Dan; Haller, Stefan
2006
The topology of the monodromy map of a second order ODE. Zbl 1108.34007
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos
2006
A Riemannian invariant, Euler structures and some topological applications. Zbl 1130.57036
Burghelea, Dan; Haller, Stefan
2006
Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm–Liouville operators. Zbl 1025.34023
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos
2003
On the topology and analysis of a closed one form. I. (Novikov’s theory revisited). Zbl 1017.57013
Burghelea, Dan; Haller, Stefan
2001
Relative torsion. Zbl 0994.58018
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
2001
Torsions for manifolds with boundary and glueing formulas. Zbl 0959.58041
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
1999
Removing metric anomalies from Ray-Singer torsion. Zbl 0946.58026
Burghelea, D.
1999
Written deformation of the analytic torsion and the Reidemeister torsion. Zbl 0907.58070
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas
1998
Lectures on Witten-Helffer-Sjöstrand theory. Zbl 0936.58008
Burghelea, Dan
1997
Analytic and Reidemeister torsion for representations in finite type Hilbert modules. Zbl 0874.57025
Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P.
1996
Asymptotic expansion of the Witten deformation of the analytic torsion. Zbl 0858.57029
Burghelea, D.; Friedlander, L.; Kappeler, T.
1996
On the determinant of elliptic boundary value problems on a line segment. Zbl 0848.34063
Burghelea, D.; Friedlander, L.; Kappeler, T.
1995
Power maps and epicyclic spaces. Zbl 0827.55004
Burghelea, D.; Fiedorowicz, Z.; Gajda, W.
1994
On the functional logdet and related flows on the space of closed embedded curves on $$S^ 2$$. Zbl 0805.58062
Burghelea, Dan; Kappeler, Thomas; McDonald, Patrick; Friedlander, Leonid
1994
Regularized determinants for pseudodifferential operators in vector bundles over $$S^ 1$$. Zbl 0784.35126
Burghelea, D.; Friedlander, L.; Kappeler, T.
1993
Mayer-Vietoris type formula for determinants of elliptic differential operators. Zbl 0759.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
1992
Erratum: On the determinant of elliptic differential and finite difference operators in vector bundles over $$S^ 1$$. Zbl 0764.58032
Burghelea, D.; Friedlander, L.; Kappeler, Th.
1992
On the determinant of elliptic differential and difference finite operators in vector bundles over $$S^ 1$$. Zbl 0734.58043
Burghelea, D.; Friedlander, L.; Kappeler, T.
1991
Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces. Zbl 0726.55007
Burghelea, D.; Fiedorowicz, Z.; Gajda, W.
1991
The free loop space. I: Algebraic topology. Zbl 0689.55016
Burghelea, D.
1989
Cyclic homology of commutative algebras. I. Zbl 0666.13007
Burghelea, Dan; Vigué Poirrier, Micheline
1988
Multiplicities of the eigenvalues of the discrete Schrödinger equation in any dimension. Zbl 0641.39002
Burghelea, Dan; Kappeler, Thomas
1988
Cyclic homology and algebraic K-theory of spaces. II. Zbl 0639.55003
Burghelea, D.; Fiedorowicz, Z.
1986
The Künneth formula in cyclic homology. Zbl 0603.18007
Burghelea, Dan; Ogle, Crichton
1986
Cyclic homology and the algebraic K-theory of spaces. I. Zbl 0615.55009
Burghelea, Dan
1986
The cyclic homology of the group rings. Zbl 0595.16022
Burghelea, Dan
1985
A model for cyclic homology and algebraic K-theory of 1-connected topological spaces. Zbl 0595.55009
Vigué-Poirrier, Micheline; Burghelea, Dan
1985
Hermitian algebraic K-theory of simplicial rings and topological spaces. Zbl 0597.18006
Burghelea, D.; Fiedorowicz, Z.
1985
Hermitian algebraic K-theory of topological spaces. Zbl 0582.55007
Burghelea, D.; Fiedorowicz, Z.
1984
The nontriviality of the first rational homology group of some connected invariant subsets of periodic transformations. Zbl 0522.57035
1983
Converting compact ANR fibrations into locally trivial bundles with compact manifolds as fibres. Zbl 0524.55019
Burghelea, D.
1983
Geometric transfer and the homotopy type of the automorphism groups of a manifold. Zbl 0489.57008
Burghelea, D.; Lashof, R.
1982
Examples of asymmetric differentiable manifolds. Zbl 0437.57021
1981
The rational homotopy groups of Diff($$M$$) and Homeo($$M^n$$) in the stability range. Zbl 0421.58008
Burghelea, D.
1979
Some rational computations of the Waldhausen algebraic K theory. Zbl 0413.57024
Burghelea, Dan
1979
Automorphisms of manifolds. Zbl 0402.57033
Burghelea, Dan
1978
Stability of concordances and the suspension homomorphism. Zbl 0393.55009
Burghelea, D.; Lashof, R.
1977
The structure of block-automorphisms of $$M\times S^1$$. Zbl 0344.57003
Burghelea, D.
1977
On the decomposition of the automorphisms-group of $$M\times S^1$$. Zbl 0408.58016
Burghelea, Dan
1977
Groups of automorphisms of manifolds. With an appendix by E. Peders en. Zbl 0307.57013
Burghelea, Dan; Lashof, Richard; Rothenberg, Melvin
1975
On the semisimple degree of symmetry. Zbl 0321.57025
Burghelea, Dan; Schultz, Reinhard
1975
The homotopy type of the space of diffeomorphisms. I, II. Zbl 0296.58003
Burghelea, Dan; Lashof, Richard
1974
On the homotopy type of $$\text{Diff}(M^n)$$ and connected problems. Zbl 0258.57004
Burghelea, Dan
1973
Local homological properties of analytic sets. Zbl 0246.32007
Burghelea, Dan; Verona, Andrei
1972
The non-finite homotopy type of some diffeomorphism groups. Zbl 0225.57013
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1972
Free differentiable S$$^1$$ and S$$^3$$ actions on homotopy spheres. Zbl 0247.57009
Burghelea, Dan
1972
The concordance-homotopy groups of geometric automorphism groups. Zbl 0222.57001
Antonelli, Peter L.; Burghelea, Dan; Kahn, Peter J.
1971
Concordance-homotopy groups and the nonfinite type of some Diff $$_ 0M^ n$$. Zbl 0218.57019
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1971
Smoothings and homeomorphisms for Hilbert manifolds. Zbl 0211.56004
Burghelea, D.; Henderson, D.
1970
Gromoll groups, Diff $$S^ n$$ and bilinear constructions of exotic spheres. Zbl 0195.53303
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1970
Diffeomorphisms for Hilbert manifolds and handle decomposition. Zbl 0197.20603
Burghelea, D.
1970
Imbedding Hilbert manifold with given normal bundle. Zbl 0184.27104
Burghelea, Dan
1970
The nonfinite type of some $$Diff_ 0M^ n$$. Zbl 0204.56601
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
1970
Hilbert manifolds. Zbl 0195.53501
Burghelea, Dan; Kuiper, Nicolaas H.
1969
The homotopy category of spectra. III. Zbl 0207.21902
Burghelea, Dan; Deleanu, Aristide
1969
The homotopy category of spectra. II. Zbl 0207.21901
Burghelea, Dan; Deleanu, Aristide
1968
The homotopy category of spectra. I. Zbl 0164.23802
Burghelea, Dan; Deleanu, Aristide
1967
On certain two-space homology-cohomology groups. Zbl 0188.28403
Burghelea, D.; Deleanu, A.
1966
The spectral sequence of Shih Weishu and the generalized cohomology theories. I. Zbl 0197.49401
Burghelea, D.; Deleanu, A.
1966
all top 5

### Cited by 433 Authors

 35 Burghelea, Dan 18 Lee, Yoonweon 14 Kirsten, Klaus 12 Kappeler, Thomas 11 Braverman, Maxim 10 Farrell, F. Thomas 10 Su, Guangxiang 7 Park, Jinsung 7 Vertman, Boris 6 Friedlander, Leonid 6 Haller, Stefan 6 Hsiang, Wu-Chung 6 Huang, Rung-Tzung 6 Loya, Paul A. 6 Mathai, Varghese 6 Ogle, Crichton 6 Saldanha, Nicolau Corção 6 Seade, Jose Antonio 6 Williams, Bruce 5 Fiedorowicz, Zbigniew 5 Gesztesy, Fritz 5 Ji, Ronghui 5 Kokotov, Aleksey 5 Kupers, Alexander 5 Kwasik, Sławomir 5 Vigué-Poirrier, Micheline 4 Cisneros-Molina, José Luis 4 Connes, Alain 4 Emmanouil, Ioannis 4 Goodwillie, Thomas Gehret 4 Henderson, David Wilson 4 Kalvin, Victor 4 Lê Dûng Tráng 4 Ponge, Raphaël S. 4 Randal-Williams, Oscar 4 Schultz, Reinhard E. 4 Solotar, Andrea Leonor 4 Tibăr, Mihai-Marius 3 Brylinski, Jean-Luc 3 Carlsson, Gunnar E. 3 Chataur, David 3 Consani, Caterina 3 de Silva, Vin 3 Dimca, Alexandru 3 Engel, Alexander 3 Farber, Michael S. 3 Hardt, Robert M. 3 Hillairet, Luc 3 Jones, Lowell Edwin 3 Kassel, Christian 3 Klein, John Robert 3 Lesch, Matthias 3 Lodder, Gerald Matthew 3 Menichi, Luc 3 Nicas, Andrew J. 3 Nistor, Victor 3 Oh, Kyungho 3 Ontaneda, Pedro 3 Passi, Inder Bir Singh 3 Patras, Frédéric 3 Paycha, Sylvie 3 Pichon, Anne 3 Schick, Thomas 3 Song, Yongjin 3 Spreafico, Mauro 3 Ştefan, Dragoş 3 Tomei, Carlos 3 Weiss, Michael S. 2 Adem, Alejandro 2 Álvarez López, Jesús Antonio 2 Arutyunov, Andronick Aramovich 2 Assadi, Amir H. 2 Azagra, Daniel 2 Azzali, Sara 2 Berest, Yuri Yu. 2 Berglund, Alexander 2 Bökstedt, Marcel 2 Bustamante, Mauricio 2 Chapman, Thomas Ashland 2 Church, Philip T. 2 Cohen, Ralph L. 2 Crowley, Diarmuid John 2 Deleanu, Aristide 2 Dobrowolski, Tadeusz 2 Dwyer, William G. 2 Elworthy, K. David 2 Erle, Dieter 2 Freitas, Pedro 2 Gajda, Wojciech 2 Gilkey, Peter B. 2 Hamm, Helmut Arend 2 Hartmann, Luiz 2 Inaba, Kazumasa 2 Iomdin, I. N. 2 Ivanov, Nikolai V. 2 Jiang, Yi 2 Jones, John D. S. 2 Kammeyer, Holger 2 Keller, Bernhard 2 Pedersen, Erik Kjær ...and 333 more Authors
all top 5

### Cited in 123 Serials

 33 Transactions of the American Mathematical Society 27 $$K$$-Theory 21 Inventiones Mathematicae 19 Journal of Pure and Applied Algebra 18 Mathematische Annalen 16 Journal of Functional Analysis 15 Mathematische Zeitschrift 14 Communications in Mathematical Physics 14 Advances in Mathematics 14 Proceedings of the American Mathematical Society 13 Journal of Geometry and Physics 10 Annales de l’Institut Fourier 9 Geometry & Topology 8 Compositio Mathematica 8 Duke Mathematical Journal 8 Geometric and Functional Analysis. GAFA 7 Communications in Algebra 7 Manuscripta Mathematica 7 Journal of Noncommutative Geometry 6 Journal of Mathematical Physics 6 Bulletin of the American Mathematical Society 5 Journal of Differential Equations 5 Journal für die Reine und Angewandte Mathematik 5 Journal of Soviet Mathematics 5 Topology and its Applications 5 The Journal of Geometric Analysis 5 Algebraic & Geometric Topology 5 Journal of Topology 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annals of Global Analysis and Geometry 4 Bulletin of the American Mathematical Society. New Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fixed Point Theory and Applications 4 Forum of Mathematics, Sigma 3 Bulletin de la Société Mathématique de France 3 Discrete & Computational Geometry 3 International Journal of Mathematics 3 Differential Geometry and its Applications 3 Selecta Mathematica. New Series 3 Journal of High Energy Physics 3 Journal of Homotopy and Related Structures 3 Journal of Topology and Analysis 3 Journal de l’École Polytechnique – Mathématiques 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Czechoslovak Mathematical Journal 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Journal of Algebra 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Siberian Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series B 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Annales Mathématiques Blaise Pascal 2 Communications in Contemporary Mathematics 2 Foundations of Computational Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Applied and Computational Topology 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Fundamenta Mathematicae 1 Integral Equations and Operator Theory 1 Journal of Geometry 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Mathematika 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Physica D 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Russian Mathematics 1 Journal of Algebraic Geometry 1 Topology Proceedings 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Vietnam Journal of Mathematics ...and 23 more Serials
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### Cited in 45 Fields

 174 Global analysis, analysis on manifolds (58-XX) 147 Manifolds and cell complexes (57-XX) 123 Algebraic topology (55-XX) 66 $$K$$-theory (19-XX) 62 Category theory; homological algebra (18-XX) 45 Several complex variables and analytic spaces (32-XX) 44 Algebraic geometry (14-XX) 42 Associative rings and algebras (16-XX) 37 Functional analysis (46-XX) 34 Differential geometry (53-XX) 24 Group theory and generalizations (20-XX) 23 Operator theory (47-XX) 20 Quantum theory (81-XX) 19 Partial differential equations (35-XX) 18 Ordinary differential equations (34-XX) 13 Commutative algebra (13-XX) 10 Number theory (11-XX) 10 Functions of a complex variable (30-XX) 9 Nonassociative rings and algebras (17-XX) 9 Topological groups, Lie groups (22-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 5 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)