English

Rational Homotopy Equivalence

Algebraic Topology 2025-12-25 v1

Abstract

This article proposes an algorithm that constructs a Sullivan minimal model for any simply connected simplicial set with effective homology and thereby allows one to decide algorithmically whether two simply connected spaces represented by finite simplicial sets have the same rational homotopy type.

Keywords

Cite

@article{arxiv.2512.21182,
  title  = {Rational Homotopy Equivalence},
  author = {Mária Šimková},
  journal= {arXiv preprint arXiv:2512.21182},
  year   = {2025}
}

Comments

algorithmic approach

R2 v1 2026-07-01T08:39:56.421Z