Vol. 7 (2023)
Articles

Esfera homológica de Poincaré

Published 08/07/2023

Keywords

  • homología,
  • variedad homológica,
  • dualidad de Poincaré,
  • esfera de Poincaré,
  • topología algebraica

How to Cite

Majadas Moure, Alejandro Omar. «Esfera homológica de Poincaré». En: TEMat, 7 (2023), págs. 41-50. ISSN: 2530-9633. URL: https://temat.es/articulo/2023-p41.

Abstract

From the Poincaré homology sphere it is possible to obtain a natural example of a homology manifold that is not a topological manifold. In general, the Poincaré homology sphere is constructed using geometric arguments related with the dodecahedron. However, we will show another construction using an algebraic point of view.