2026-06-27T16:26:37Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/570462023-08-25T17:45:58Zcom_20.500.14352_14col_20.500.14352_15

González Pérez, Pedro Daniel Almira Picazo, J.M. 2023-06-20T16:47:54Z 2023-06-20T16:47:54Z 2001 1138-8927 https://hdl.handle.net/20.500.14352/57046 http://www.rsme.es/gacetadigital/english/otrosnumeros.php The paper gives a very elementary proof of the well-known result that the projective space P3 is homeomorphic to the special orthogonal Lie group SO(3). The proof uses only linear algebra, elementary topology and elementary affine geometry. One of its motivations is the theory developed in the classical book of M. L. Curtis [Matrix groups, Springer, New York, 1979; MR0550439 (81c:22001)]. The paper is also very useful for young students in mathematics to become initiated in Lie theory and its applications. spa open access Una demostración constructiva de un homeomorfismo entre P3 y SO(3) journal article