Edit Profile (opens in new tab) Hansen, Vagn Lundsgaard Co-Author Distance Author ID: hansen.vagn-lundsgaard Published as: Hansen, Vagn Lundsgaard; Hansen, V. L. Homepage: http://www2.mat.dtu.dk/people/V.L.Hansen/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 60 Publications since 1970, including 8 Books and 1 Additional arXiv Preprint 3 Contributions as Editor Reviewing Activity: 288 Reviews Co-Authors: 5 Co-Authors with 7 Joint Publications 85 Co-Co-Authors all top 5 Co-Authors 54 single-authored 3 Aabrandt, Andreas 1 Andersen, Leif B. G. 1 Birman, Joan S. 1 Chandler, Bruce 1 Fenchel, Werner 1 Grove, Karsten 1 Hjorth, Poul G. 1 Magnus, Wilhelm 1 Møller, Jesper Michael 1 Nielsen, Jakob 1 Petersen, Peter V 1 Zieschang, Heiner all top 5 Serials 6 Normat 4 Mathematica Scandinavica 4 Topology and its Applications 3 Elemente der Mathematik 2 International Journal of Mathematical Education in Science and Technology 2 The Mathematical Intelligencer 2 Canadian Journal of Mathematics 2 Compositio Mathematica 2 Journal of Differential Geometry 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 1 Houston Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Quaestiones Mathematicae 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Studia Logica 1 Transactions of the American Mathematical Society 1 SIAM Review 1 Expositiones Mathematicae 1 European Mathematical Society Newsletter 1 Lecture Notes in Mathematics 1 London Mathematical Society Student Texts 1 Contemporary Mathematicians all top 5 Fields 23 Manifolds and cell complexes (57-XX) 18 Algebraic topology (55-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 History and biography (01-XX) 8 General and overarching topics; collections (00-XX) 8 Functional analysis (46-XX) 6 Differential geometry (53-XX) 5 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 5 General topology (54-XX) 4 Operator theory (47-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 2 Mathematics education (97-XX) 1 Real functions (26-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 186 times in 139 Documents Cited by ▼ Year ▼ Braids and coverings: selected topics. Zbl 0692.57001 Hansen, Vagn Lundsgaard 59 1989 Polynomial covering spaces and homomorphisms into the braid groups. Zbl 0413.57001 Hansen, Vagn Lundsgaard 15 1979 Some theorems on direct limits of expanding sequences of manifolds. Zbl 0229.58005 Hansen, Vagn Lundsgaard 13 1971 Coverings defined by Weierstrass polynomials. Zbl 0421.57001 Hansen, Vagn Lundsgaard 12 1980 The homotopy problem for the components in the space of maps on the n- sphere. Zbl 0299.55009 Hansen, Vagn Lundsgaard 12 1974 On spaces of maps of n-manifolds into the n-sphere. Zbl 0479.55007 Hansen, Vagn Lundsgaard 9 1981 Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050 Nielsen, Jakob 7 1986 Embedding finite covering spaces into trivial bundles. Zbl 0368.55001 Hansen, Vagn Lundsgaard 7 1978 Functional analysis. Entering Hilbert space. Zbl 1118.46001 Hansen, Vagn Lundsgaard 6 2006 The homotopy groups of a space of maps between oriented closed surfaces. Zbl 0521.55010 Hansen, Vagn Lundsgaard 6 1983 Spaces of maps into Eilenberg-MacLane spaces. Zbl 0451.55011 Hansen, Vagn Lundsgaard 5 1981 Equivalence of evaluation fibrations. Zbl 0281.55002 Hansen, Vagn Lundsgaard 5 1974 Functional analysis. Entering Hilbert space. 2nd edition. Zbl 1338.46001 Hansen, Vagn Lundsgaard 4 2016 A note on powers in finite fields. Zbl 1547.11130 Aabrandt, Andreas; Hansen, Vagn Lundsgaard 3 2016 Integrably parallelizable manifolds. Zbl 0256.53034 Hansen, Vagn Lundsgaard 3 1972 The space of self maps on the 2-sphere. Zbl 0703.55005 Hansen, Vagn Lundsgaard 2 1990 Branched polynomial covering maps. Zbl 1016.57005 Hansen, Vagn Lundsgaard 2 2002 On the existence of equivariant embeddings of principal bundles into vector bundles. Zbl 0524.57001 Hansen, Vagn Lundsgaard; Moller, Jesper Michael 2 1983 The homotopy type of the space of maps of a homology 3-sphere into the 2- sphere. Zbl 0391.58012 Hansen, Vagn Lundsgaard 2 1978 On the space of maps of a closed surface into the 2-sphere. Zbl 0299.55017 Hansen, Vagn Lundsgaard 2 1975 Covering maps with separators. Zbl 0777.57002 Hansen, Vagn Lundsgaard 1 1993 Algebra and topology of Weierstrass polynomials. Zbl 0646.57002 Hansen, Vagn Lundsgaard 1 1987 Polynomial covering maps. Zbl 0671.57005 Hansen, Vagn Lundsgaard 1 1988 The characteristic algebra of a polynomial covering map. Zbl 0699.46036 Hansen, Vagn Lundsgaard 1 1989 Jakob Nielsen and his contributions to topology. Zbl 0948.01024 Hansen, Vagn Lundsgaard 1 1999 On the homotopy groups of punctured manifolds. Zbl 0548.57007 Hansen, Vagn Lundsgaard 1 1984 The magic world of geometry. III: The Dirac string problem. Zbl 0834.57007 Hansen, Vagn Lundsgaard 1 1994 Groups, coverings and Galois theory. Zbl 0749.57001 Hansen, Vagn Lundsgaard; Petersen, Peter V 1 1991 Popularizing mathematics: From eight to infinity. Zbl 1001.00002 Hansen, V. L. 1 2002 Geometry in nature. Transl. from the Danish by Tom Artin. Zbl 0784.51001 Hansen, Vagn Lundsgaard 1 1993 On the fundamental group of a mapping space. An example. Zbl 0282.55009 Hansen, Vagn Lundsgaard 1 1974 Shadows of the circle. Conic sections, optimal figures and non-Euclidean geometry. Zbl 0913.51008 Hansen, Vagn Lundsgaard 1 1998 Weierstrass polynomials for links. Zbl 0907.57003 Hansen, Vagn Lundsgaard 1 1998 On the homotopy type of certain spaces of differentiable maps. Zbl 0239.58006 Hansen, Vagn Lundsgaard 1 1972 Fundamental concepts in modern analysis. An introduction to nonlinear analysis. Revised with Poul G. Hjorth. 2nd revised edition. Zbl 1428.46001 Hansen, Vagn Lundsgaard 1 2020 On a theorem of Al’ber on spaces of maps. Zbl 0402.58003 Hansen, Vagn Lundsgaard 1 1977 Decomposability of evaluation fibrations and the brace product operation of James. Zbl 0354.55006 Hansen, Vagn Lundsgaard 1 1977 Fundamental concepts in modern analysis. An introduction to nonlinear analysis. Revised with Poul G. Hjorth. 2nd revised edition. Zbl 1428.46001 Hansen, Vagn Lundsgaard 1 2020 Functional analysis. Entering Hilbert space. 2nd edition. Zbl 1338.46001 Hansen, Vagn Lundsgaard 4 2016 A note on powers in finite fields. Zbl 1547.11130 Aabrandt, Andreas; Hansen, Vagn Lundsgaard 3 2016 Functional analysis. Entering Hilbert space. Zbl 1118.46001 Hansen, Vagn Lundsgaard 6 2006 Branched polynomial covering maps. Zbl 1016.57005 Hansen, Vagn Lundsgaard 2 2002 Popularizing mathematics: From eight to infinity. Zbl 1001.00002 Hansen, V. L. 1 2002 Jakob Nielsen and his contributions to topology. Zbl 0948.01024 Hansen, Vagn Lundsgaard 1 1999 Shadows of the circle. Conic sections, optimal figures and non-Euclidean geometry. Zbl 0913.51008 Hansen, Vagn Lundsgaard 1 1998 Weierstrass polynomials for links. Zbl 0907.57003 Hansen, Vagn Lundsgaard 1 1998 The magic world of geometry. III: The Dirac string problem. Zbl 0834.57007 Hansen, Vagn Lundsgaard 1 1994 Covering maps with separators. Zbl 0777.57002 Hansen, Vagn Lundsgaard 1 1993 Geometry in nature. Transl. from the Danish by Tom Artin. Zbl 0784.51001 Hansen, Vagn Lundsgaard 1 1993 Groups, coverings and Galois theory. Zbl 0749.57001 Hansen, Vagn Lundsgaard; Petersen, Peter V 1 1991 The space of self maps on the 2-sphere. Zbl 0703.55005 Hansen, Vagn Lundsgaard 2 1990 Braids and coverings: selected topics. Zbl 0692.57001 Hansen, Vagn Lundsgaard 59 1989 The characteristic algebra of a polynomial covering map. Zbl 0699.46036 Hansen, Vagn Lundsgaard 1 1989 Polynomial covering maps. Zbl 0671.57005 Hansen, Vagn Lundsgaard 1 1988 Algebra and topology of Weierstrass polynomials. Zbl 0646.57002 Hansen, Vagn Lundsgaard 1 1987 Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050 Nielsen, Jakob 7 1986 On the homotopy groups of punctured manifolds. Zbl 0548.57007 Hansen, Vagn Lundsgaard 1 1984 The homotopy groups of a space of maps between oriented closed surfaces. Zbl 0521.55010 Hansen, Vagn Lundsgaard 6 1983 On the existence of equivariant embeddings of principal bundles into vector bundles. Zbl 0524.57001 Hansen, Vagn Lundsgaard; Moller, Jesper Michael 2 1983 On spaces of maps of n-manifolds into the n-sphere. Zbl 0479.55007 Hansen, Vagn Lundsgaard 9 1981 Spaces of maps into Eilenberg-MacLane spaces. Zbl 0451.55011 Hansen, Vagn Lundsgaard 5 1981 Coverings defined by Weierstrass polynomials. Zbl 0421.57001 Hansen, Vagn Lundsgaard 12 1980 Polynomial covering spaces and homomorphisms into the braid groups. Zbl 0413.57001 Hansen, Vagn Lundsgaard 15 1979 Embedding finite covering spaces into trivial bundles. Zbl 0368.55001 Hansen, Vagn Lundsgaard 7 1978 The homotopy type of the space of maps of a homology 3-sphere into the 2- sphere. Zbl 0391.58012 Hansen, Vagn Lundsgaard 2 1978 On a theorem of Al’ber on spaces of maps. Zbl 0402.58003 Hansen, Vagn Lundsgaard 1 1977 Decomposability of evaluation fibrations and the brace product operation of James. Zbl 0354.55006 Hansen, Vagn Lundsgaard 1 1977 On the space of maps of a closed surface into the 2-sphere. Zbl 0299.55017 Hansen, Vagn Lundsgaard 2 1975 The homotopy problem for the components in the space of maps on the n- sphere. Zbl 0299.55009 Hansen, Vagn Lundsgaard 12 1974 Equivalence of evaluation fibrations. Zbl 0281.55002 Hansen, Vagn Lundsgaard 5 1974 On the fundamental group of a mapping space. An example. Zbl 0282.55009 Hansen, Vagn Lundsgaard 1 1974 Integrably parallelizable manifolds. Zbl 0256.53034 Hansen, Vagn Lundsgaard 3 1972 On the homotopy type of certain spaces of differentiable maps. Zbl 0239.58006 Hansen, Vagn Lundsgaard 1 1972 Some theorems on direct limits of expanding sequences of manifolds. Zbl 0229.58005 Hansen, Vagn Lundsgaard 13 1971 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 14 Gonçalves, Daciberg Lima 11 Guaschi, John 9 Hansen, Vagn Lundsgaard 6 Ocampo Uribe, Oscar Eduardo 5 Taheri, Ali 4 Abdulrahim, Mohammad N. 4 Glöckner, Helge 4 Møller, Jesper Michael 3 Gumerov, Renat Nel’sonovich 3 Morrison, George 3 Setia, Amit 3 Yamaguchi, Kohhei 2 Arpin, Sarah 2 Barbagallo, Annamaria 2 Bozlee, Sebastian J. 2 Brown, Robert F. 2 Cohen, Daniel C. 2 Damiani, Celeste 2 De Melo, Thiago 2 de Miranda e Pereiro, Carolina 2 Dekimpe, Karel 2 Douvropoulos, Theo 2 Dutto, Simone 2 Ernst, Emil O. 2 Golasiński, Marek 2 Grigoriu, Mircea Dan 2 Grove, Karsten 2 Hayes, Sandra A. 2 Herr, Leo 2 Jöricke, Burglind 2 Kawamura, Kazuhiro 2 Kozlowski, Andrzej 2 Laass, Vinicius Casteluber 2 Melikhov, Sergey Aleksandrovich 2 Pedersen, Gert Kjærgård 2 Sharma, Vaishali 2 Smith, Hanson 2 Smith, Samuel Bruce 2 Théra, Michel A. 2 Vigué, Jean-Pierre 1 Agarwal, Ravi P. 1 Aguirre-Hernández, Baltazar 1 Akhmet’ev, Pëtr Mikhaĭlovich 1 Bagarello, Fabio 1 Barbot, Jean-Pierre 1 Bellomonte, Giorgia 1 Bode, Benjamin 1 Brekke, Lee 1 Brown, Ronald 1 Bustamante, Mauricio 1 Cabau, Patrick 1 Cacciatori, Sergio Luigi 1 Cecotti, Sergio 1 Chapuy, Guillaume 1 Charak, Kuldeep Singh 1 Cordovil, Raul 1 Costoya, Cristina 1 Crabb, Michael C. 1 Dally, Malak M. 1 de la Harpe, Pierre 1 Deconinck, Charlotte 1 Dettweiler, Michael 1 dos Santos, Edivaldo Lopes 1 Dugan, Michael J. 1 Easdown, David 1 El Kacimi Alaoui, Aziz 1 Frías-Armenta, Martín Eduardo 1 Funar, Louis 1 Ghazel, Moncef 1 Grigorian, S. A. 1 Grima, Clara Isabel 1 Guedes de Oliveira, António 1 Gutierrez, Mauricio A. 1 Hale, Margie 1 Hall, Toby 1 Haraoka, Yoshishige 1 Hartnick, Tobias 1 Higgins, Philip John 1 Humphries, Stephen P. 1 Imbo, Tom D. 1 Ivanescu, Cristian 1 Ji, Lizhen 1 Jost, Jürgen 1 Kallel, Sadok 1 Kelly, Michael R. 1 Köhl, Ralf 1 Krannich, Manuel 1 Krstic, Sava A. 1 Kucerovsky, Dan Z. 1 Kumar, Ravinder 1 Kupers, Alexander 1 Las Vergnas, Michel 1 Lavers, T. G. 1 Lee, Jinho 1 Lei, Jun 1 Lewis, Joel Brewster 1 Li, Pengcheng 1 Linnell, Peter Arnold 1 Lönne, Michael 1 Lupton, Gregory M. ...and 59 more Authors all top 5 Cited in 72 Serials 22 Topology and its Applications 6 Journal of Algebra 6 Journal of Pure and Applied Algebra 5 Proceedings of the American Mathematical Society 4 Journal of Geometry and Physics 4 Journal of Functional Analysis 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Journal of Knot Theory and its Ramifications 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Compositio Mathematica 2 Journal of the Mathematical Society of Japan 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 European Journal of Mathematics 2 Research in Number Theory 2 Graduate Journal of Mathematics 1 Discrete Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Geometriae Dedicata 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Discrete & Computational Geometry 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Mathematics 1 Historia Mathematica 1 Expositiones Mathematicae 1 International Journal of Robust and Nonlinear Control 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Advances in Applied Clifford Algebras 1 The New York Journal of Mathematics 1 Monte Carlo Methods and Applications 1 Journal of Group Theory 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Qualitative Theory of Dynamical Systems 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 Nonlinear Oscillations 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Homotopy and Related Structures 1 European Journal of Pure and Applied Mathematics 1 Differential Equations and Applications 1 Journal of Linear and Topological Algebra 1 Advances in Operator Theory all top 5 Cited in 39 Fields 43 Algebraic topology (55-XX) 41 Manifolds and cell complexes (57-XX) 40 Group theory and generalizations (20-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Topological groups, Lie groups (22-XX) 12 General topology (54-XX) 11 Functional analysis (46-XX) 8 Algebraic geometry (14-XX) 8 Several complex variables and analytic spaces (32-XX) 6 Number theory (11-XX) 6 Differential geometry (53-XX) 6 Quantum theory (81-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.