Edit Profile (opens in new tab) Macias-Virgós, Enrique Co-Author Distance Author ID: macias-virgos.enrique Published as: Macías-Virgós, Enrique; Macías-Virgós, E.; Macias-Virgós, Enrique; Macias Virgós, Enrique; Macias Virgós, E.; Macias-Virgós, E.; Macias Virgos, Enrique; Macías Virgós, Enrique; Macias-Virgos, E.; Macías Virgós, E. more...less Homepage: http://webspersoais.usc.es/persoais/quique.macias/ External Links: MGP Documents Indexed: 64 Publications since 1978, including 8 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 28 Reviews Co-Authors: 28 Co-Authors with 48 Joint Publications 244 Co-Co-Authors all top 5 Co-Authors 15 single-authored 15 Pereira-Sáez, María José 9 Mosquera-Lois, David 8 Vilches, Jose Antonio 7 Fernández-Ternero, Desamparados 6 Tanré, Daniel 3 Hector, Gilbert 2 Colman, Hellen 2 Gómez-Tato, Antonio 2 Martín-Méndez, Pedro L. 2 Mehrabi, Reihaneh 2 Minuz, Erica 2 Oprea, John F. 2 Sanmartín-Carbón, Esperanza 2 Scoville, Nicholas A. 2 Tarrío, Ana 1 Álvarez López, Jesús Antonio 1 Cao Labora, Daniel 1 Carbón, E. Sanmartín 1 Carcacía-Campos, I. 1 de La Viesca, R. 1 Doeraene, Jean-Paul 1 García-Calcines, Jose Manuel 1 Masa, Xosé M. 1 Naveira, Antonio M. 1 Regueiro Torres, Miguel A. 1 Sotelo-Armesto, Antonio 1 Strom, Jeffrey A. 1 Wegner, Bernd all top 5 Serials 4 Topology and its Applications 4 Indagationes Mathematicae. New Series 3 La Gaceta de la Real Sociedad Matemática Española 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Annales de l’Institut Fourier 2 Illinois Journal of Mathematics 2 Annals of Global Analysis and Geometry 2 Linear Algebra and its Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Geometry and Physics 1 Consejo Superior de Investigaciones Cientificas. Instituto ”Jorge Juan”. Gaceta Matematica. 1a Serie 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Topology 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Discrete & Computational Geometry 1 Publicacions Matemàtiques 1 Journal of the Ramanujan Mathematical Society 1 General Mathematics 1 Advances in Applied Clifford Algebras 1 ELA. The Electronic Journal of Linear Algebra 1 Mediterranean Journal of Mathematics 1 Mathematics in Computer Science 1 Journal of Homotopy and Related Structures 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Special Matrices all top 5 Fields 27 Algebraic topology (55-XX) 27 Manifolds and cell complexes (57-XX) 15 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Topological groups, Lie groups (22-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 128 times in 77 Documents Cited by ▼ Year ▼ Lusternik-Schnirelmann category of simplicial complexes and finite spaces. Zbl 1327.55004 Fernández-Ternero, D.; Macías-Virgós, E.; Vilches, J. A. 14 2015 Transverse Lusternik-Schnirelmann category of foliated manifolds. Zbl 0972.55002 Colman, Hellen; Macias-Virgós, Enrique 10 2001 Trace map, Cayley transform and LS category of Lie groups. Zbl 1214.55006 Gómez-Tato, A.; Macías-Virgós, E.; Pereira-Sáez, M. J. 9 2011 Diffeological groups. Zbl 1018.58001 Hector, Gilbert; Macías-Virgós, Enrique 9 2002 Symplectic matrices with predetermined left eigenvalues. Zbl 1191.15022 Macías-Virgós, E.; Pereira-Sáez, M. J. 7 2010 Discrete topological complexity. Zbl 1402.55007 Fernández-Ternero, D.; Macías-Virgós, E.; Minuz, E.; Vilches, J. A. 7 2018 De Rham cohomology of diffeological spaces and foliations. Zbl 1226.57041 Hector, G.; Macías-Virgós, E.; Sanmartín-Carbón, E. 6 2011 Left eigenvalues of \(2\times 2\) symplectic matrices. Zbl 1175.15011 Macias-Virgos, E.; Pereira-Saez, M. J. 6 2009 Simplicial Lusternik-Schnirelmann category. Zbl 1416.55003 Fernández-Ternero, Desamparados; Macías-Virgós, Enrique; Minuz, Erica; Vilches, José Antonio 6 2019 An upper bound for the Lusternik-Schnirelmann category of the symplectic group. Zbl 1284.55004 Macías-Virgós, E.; Pereira-Sáez, M. J. 6 2013 A topological approach to left eigenvalues of quaternionic matrices. Zbl 1290.15010 Macías-Virgós, E.; Pereira-Sáez, M. J. 6 2014 Homotopy groups in Lie foliations. Zbl 0818.57016 Macias-Virgós, Enrique 4 1994 Tangential Ljusternik-Schnirelman category of foliations. Zbl 1012.55001 Colman, Hellen; Macias-Virgós, Enrique 4 2002 Homotopic distance between functors. Zbl 1462.55009 Macías-Virgós, E.; Mosquera-Lois, D. 4 2020 Non-closed Lie subgroups of Lie groups. Zbl 0831.57016 Macias Virgós, Enrique 3 1993 Height functions on compact symmetric spaces. Zbl 1321.58009 Macías-Virgós, E.; Pereira-Sáez, M. J. 3 2015 Morse theory and the Lusternik-Schnirelmann category of quaternionic Grassmannians. Zbl 1420.55009 Macías-Virgós, Enrique; Pereira-Sáez, María José; Tanré, Daniel 3 2017 Homotopic distance between maps. Zbl 1485.55005 Macías-Virgós, E.; Mosquera-Lois, D. 3 2022 The constant osculating rank of the Wilking manifold \(V_{3}\). Zbl 1134.53025 Macías-Virgós, Enrique; Naveira, Antonio M.; Tarrío, Ana 2 2008 Manifolds of maps in Riemannian foliations. Zbl 0946.57033 Macias-Virgós, E.; Carbón, E. Sanmartín 2 2000 Minimal foliations on Lie groups. Zbl 0766.53021 Macias-Virgós, Enrique; Sanmartín-Carbón, Esperanza 2 1992 Height functions on quaternionic Stiefel manifolds. Zbl 1425.55002 Macías-Virgós, Enrique; Oprea, John; Strom, Jeff; Tanré, Daniel 2 2017 Ganea and Whitehead definitions for the tangential Lusternik-Schnirelmann category of foliations. Zbl 1205.55004 Doeraene, Jean-Paul; Macias-Virgós, Enrique; Tanré, Daniel 1 2010 Non-unimodular Lie foliations. Zbl 1064.57033 Macias-Virgós, Enrique; Martín-Méndez, P. 1 2005 Sous-groupes denses des groupes de Lie nilpotents. (Dense subgroups of nilpotent Lie groups). Zbl 0732.22003 Macias-Virgós, Enrique 1 1991 The diffeomorphism group of a Lie foliation. Zbl 1228.57012 Hector, Gilbert; Macías-Virgós, Enrique; Sotelo-Armesto, Antonio 1 2011 Cayley transform on Stiefel manifolds. Zbl 1379.53064 Macías-Virgós, Enrique; Pereira-Sáez, María José; Tanré, Daniel 1 2018 Relative singular value decomposition and applications to LS-category. Zbl 1432.55002 Macías-Virgós, E.; Pereira-Sáez, M. J.; Tanré, Daniel 1 2019 Non-linear Morse-Bott functions on quaternionic Stiefel manifolds. Zbl 1454.37035 Macías-Virgós, Enrique; Pereira-Sáez, María José; Tanré, Daniel 1 2020 The Cayley transform on Lie groups, symmetric spaces and Stiefel manifolds. Zbl 1438.53095 Macías-Virgós, Enrique 1 2018 Homotopic distance and generalized motion planning. Zbl 1508.55002 Macías-Virgós, Enrique; Mosquera-Lois, David; Pereira-Sáez, María José 1 2022 Poincaré duality for posets. Zbl 1527.55020 Macías-Virgós, E.; Mosquera-Lois, D.; Vilches, J. A. 1 2023 Poincaré duality for posets. Zbl 1527.55020 Macías-Virgós, E.; Mosquera-Lois, D.; Vilches, J. A. 1 2023 Homotopic distance between maps. Zbl 1485.55005 Macías-Virgós, E.; Mosquera-Lois, D. 3 2022 Homotopic distance and generalized motion planning. Zbl 1508.55002 Macías-Virgós, Enrique; Mosquera-Lois, David; Pereira-Sáez, María José 1 2022 Homotopic distance between functors. Zbl 1462.55009 Macías-Virgós, E.; Mosquera-Lois, D. 4 2020 Non-linear Morse-Bott functions on quaternionic Stiefel manifolds. Zbl 1454.37035 Macías-Virgós, Enrique; Pereira-Sáez, María José; Tanré, Daniel 1 2020 Simplicial Lusternik-Schnirelmann category. Zbl 1416.55003 Fernández-Ternero, Desamparados; Macías-Virgós, Enrique; Minuz, Erica; Vilches, José Antonio 6 2019 Relative singular value decomposition and applications to LS-category. Zbl 1432.55002 Macías-Virgós, E.; Pereira-Sáez, M. J.; Tanré, Daniel 1 2019 Discrete topological complexity. Zbl 1402.55007 Fernández-Ternero, D.; Macías-Virgós, E.; Minuz, E.; Vilches, J. A. 7 2018 Cayley transform on Stiefel manifolds. Zbl 1379.53064 Macías-Virgós, Enrique; Pereira-Sáez, María José; Tanré, Daniel 1 2018 The Cayley transform on Lie groups, symmetric spaces and Stiefel manifolds. Zbl 1438.53095 Macías-Virgós, Enrique 1 2018 Morse theory and the Lusternik-Schnirelmann category of quaternionic Grassmannians. Zbl 1420.55009 Macías-Virgós, Enrique; Pereira-Sáez, María José; Tanré, Daniel 3 2017 Height functions on quaternionic Stiefel manifolds. Zbl 1425.55002 Macías-Virgós, Enrique; Oprea, John; Strom, Jeff; Tanré, Daniel 2 2017 Lusternik-Schnirelmann category of simplicial complexes and finite spaces. Zbl 1327.55004 Fernández-Ternero, D.; Macías-Virgós, E.; Vilches, J. A. 14 2015 Height functions on compact symmetric spaces. Zbl 1321.58009 Macías-Virgós, E.; Pereira-Sáez, M. J. 3 2015 A topological approach to left eigenvalues of quaternionic matrices. Zbl 1290.15010 Macías-Virgós, E.; Pereira-Sáez, M. J. 6 2014 An upper bound for the Lusternik-Schnirelmann category of the symplectic group. Zbl 1284.55004 Macías-Virgós, E.; Pereira-Sáez, M. J. 6 2013 Trace map, Cayley transform and LS category of Lie groups. Zbl 1214.55006 Gómez-Tato, A.; Macías-Virgós, E.; Pereira-Sáez, M. J. 9 2011 De Rham cohomology of diffeological spaces and foliations. Zbl 1226.57041 Hector, G.; Macías-Virgós, E.; Sanmartín-Carbón, E. 6 2011 The diffeomorphism group of a Lie foliation. Zbl 1228.57012 Hector, Gilbert; Macías-Virgós, Enrique; Sotelo-Armesto, Antonio 1 2011 Symplectic matrices with predetermined left eigenvalues. Zbl 1191.15022 Macías-Virgós, E.; Pereira-Sáez, M. J. 7 2010 Ganea and Whitehead definitions for the tangential Lusternik-Schnirelmann category of foliations. Zbl 1205.55004 Doeraene, Jean-Paul; Macias-Virgós, Enrique; Tanré, Daniel 1 2010 Left eigenvalues of \(2\times 2\) symplectic matrices. Zbl 1175.15011 Macias-Virgos, E.; Pereira-Saez, M. J. 6 2009 The constant osculating rank of the Wilking manifold \(V_{3}\). Zbl 1134.53025 Macías-Virgós, Enrique; Naveira, Antonio M.; Tarrío, Ana 2 2008 Non-unimodular Lie foliations. Zbl 1064.57033 Macias-Virgós, Enrique; Martín-Méndez, P. 1 2005 Diffeological groups. Zbl 1018.58001 Hector, Gilbert; Macías-Virgós, Enrique 9 2002 Tangential Ljusternik-Schnirelman category of foliations. Zbl 1012.55001 Colman, Hellen; Macias-Virgós, Enrique 4 2002 Transverse Lusternik-Schnirelmann category of foliated manifolds. Zbl 0972.55002 Colman, Hellen; Macias-Virgós, Enrique 10 2001 Manifolds of maps in Riemannian foliations. Zbl 0946.57033 Macias-Virgós, E.; Carbón, E. Sanmartín 2 2000 Homotopy groups in Lie foliations. Zbl 0818.57016 Macias-Virgós, Enrique 4 1994 Non-closed Lie subgroups of Lie groups. Zbl 0831.57016 Macias Virgós, Enrique 3 1993 Minimal foliations on Lie groups. Zbl 0766.53021 Macias-Virgós, Enrique; Sanmartín-Carbón, Esperanza 2 1992 Sous-groupes denses des groupes de Lie nilpotents. (Dense subgroups of nilpotent Lie groups). Zbl 0732.22003 Macias-Virgós, Enrique 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 73 Authors 26 Macias-Virgós, Enrique 13 Pereira-Sáez, María José 6 Tanré, Daniel 5 Borat, Ayşe 5 Tanaka, Kohei 4 Hurder, Steven E. 4 Mosquera-Lois, David 3 Ahmadi, Alireza 3 Colman, Hellen 3 Dehghan-Nezhad, Akbar 3 Fernández-Ternero, Desamparados 3 Kyrchei, Ivan I. 3 MacDonald, Lachlan Ewen 3 Vergili, Tane 3 Vilches, Jose Antonio 2 Doeraene, Jean-Paul 2 Hector, Gilbert 2 Lauret, Emilio A. 2 Martín-Méndez, Pedro L. 2 Meniño Cotón, Carlos 2 Oprea, John F. 2 Scoville, Nicholas A. 2 Töben, Dirk 1 Álvarez López, Jesús Antonio 1 Arias-Marco, Teresa 1 Arvanitoyeorgos, Andreas 1 Borghini, Eugenio 1 Bozma, H. Işıl 1 Davvaz, Bijan 1 Dolgonosova, Anna Yu. 1 El Haouari, Mohammed 1 Gamkrelidze, Revaz Valerianovich 1 Gao, Jingwen 1 García-Calcines, Jose Manuel 1 Gillam, William Danny 1 Gómez-Tato, Antonio 1 Hairer, Martin 1 Hamrouni, Hatem 1 İs, Melih 1 Izmailova, Z. A. 1 Jentsch, Tillmann 1 Karaca, Ismet 1 Kou, Kit-Ian 1 Kuribayashi, Katsuhiko 1 Laubinger, Martin 1 Masa, Xosé M. 1 Mathai, Varghese 1 Meersseman, Laurent 1 Mehrabi, Reihaneh 1 Minuz, Erica 1 Miyamoto, David 1 Mock, Andrea 1 Naveira, Antonio M. 1 Neeb, Karl-Hermann 1 Nicolau, Marcel 1 Oh, Yong-Geun 1 Ostianu, N. M. 1 Öztürk, Ferit 1 Pamuk, Mehmetcik 1 Ribón, Javier 1 Rovenskiĭ, Vladimir Yuzefovich 1 Saratchandran, Hemanth 1 Schönbauer, Philipp 1 Sotelo-Armesto, Antonio 1 Souissi, Salah 1 Strom, Jeffrey A. 1 Swei, Willie 1 Tanaka, Hiro Lee 1 Tarrío, Ana 1 Volić, Ismar 1 Weingart, Gregor 1 Yang, Yan 1 Zhukova, Nina Ivanovna all top 5 Cited in 47 Serials 12 Topology and its Applications 5 Indagationes Mathematicae. New Series 3 Transactions of the American Mathematical Society 3 Annals of Global Analysis and Geometry 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 Linear Algebra and its Applications 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Geometry and Physics 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Mathematical Social Sciences 1 Discrete & Computational Geometry 1 Journal of the Ramanujan Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Potential Analysis 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 The New York Journal of Mathematics 1 Transformation Groups 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Homotopy and Related Structures 1 Japanese Journal of Mathematics. 3rd Series 1 Applied General Topology 1 Forum of Mathematics, Pi 1 Special Matrices 1 Journal of Linear and Topological Algebra 1 Categories and General Algebraic Structures with Applications all top 5 Cited in 25 Fields 41 Algebraic topology (55-XX) 25 Manifolds and cell complexes (57-XX) 20 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Topological groups, Lie groups (22-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 Combinatorics (05-XX) 3 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year