Vol. 7 (2023)
Articles

La conjetura de Andrews-Curtis

Artículo (PDF) (Español (España))
  • Alba Sendón Blanco

Published 08/07/2023

Keywords

  • conjetura de Andrews-Curtis,
  • espacios topológicos finitos,
  • posets finitos,
  • complejos simpliciales finitos,
  • tipo de homotopía simple

How to Cite

Sendón Blanco, Alba. «La conjetura de Andrews-Curtis». En: TEMat, 7 (2023), págs. 1-16. ISSN: 2530-9633. URL: https://temat.es/articulo/2023-p1.

Copyright (c) 2023 Alba Sendón Blanco

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The Andrews-Curtis conjecture was proposed by James J. Andrews and Morton L. Curtis in 1965, is originally algebraic and states that every balanced presentation of the trivial group can become (through Andrews-Curtis transformations) the trivial presentation.

Our aim is to show two different versions of the Andrews-Curtis conjecture, both of them from a topological point of view: one for finite simplicial complexes and another one for finite posets. Furthermore, we will establish the equivalence between them.

Artículo (PDF) (Español (España))