English

All you need is $\mathbf{A}_\kappa$

Logic 2025-10-01 v2

Abstract

We show that the vanishing of higher derived limits of the system Aκ\mathbf{A}_\kappa implies the additivity of strong homology on the class of locally compact metric spaces of weight at most κ\kappa, thereby establishing a converse to a theorem of Marde\v{s}i\'c and Prasolov.

Keywords

Cite

@article{arxiv.2506.14185,
  title  = {All you need is $\mathbf{A}_\kappa$},
  author = {Nathaniel Bannister},
  journal= {arXiv preprint arXiv:2506.14185},
  year   = {2025}
}

Comments

7 pages

R2 v1 2026-07-01T03:21:09.964Z