RT Journal Article T1 Una demostración constructiva de un homeomorfismo entre P3 y SO(3) T2 A constructive proof of a homomorphism between P3 and SO(3) A1 González Pérez, Pedro Daniel A1 Almira Picazo, J.M. AB 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. PB Real Sociedad Matemática Española SN 1138-8927 YR 2001 FD 2001 LK https://hdl.handle.net/20.500.14352/57046 UL https://hdl.handle.net/20.500.14352/57046 LA spa DS Docta Complutense RD 8 abr 2025