English

Positive weights and self-maps

Algebraic Topology 2023-03-22 v4

Abstract

Spaces with positive weights are those whose rational homotopy type admits a large family of "rescaling" automorphisms. We show that finite complexes with positive weights have many genuine self-maps. We also fix the proofs of some previous related results.

Keywords

Cite

@article{arxiv.2108.02173,
  title  = {Positive weights and self-maps},
  author = {Fedor Manin},
  journal= {arXiv preprint arXiv:2108.02173},
  year   = {2023}
}

Comments

9 pages. v2 adds some clarifications and expanded arguments in response to referee report, no change to mathematical content. v3 fixes a formula on p. 7

R2 v1 2026-06-24T04:49:57.958Z