English

On the group of homotopy classes of relative homotopy automorphisms

Algebraic Topology 2024-02-28 v4

Abstract

We prove that the group of homotopy classes of relative homotopy automorphisms of a simply connected finite CW-complex is finitely presented and that the rationalization map from this group to its rational analogue has a finite kernel.

Keywords

Cite

@article{arxiv.2002.12083,
  title  = {On the group of homotopy classes of relative homotopy automorphisms},
  author = {Hadrien Espic and Bashar Saleh},
  journal= {arXiv preprint arXiv:2002.12083},
  year   = {2024}
}

Comments

v4: Gaps in earlier version filled