English

Condensed Sets via free resolutions

Category Theory 2024-07-26 v2 Algebraic Topology

Abstract

We show the equivalence of several constructions of the category of condensed sets by using free resolutions of compact Hausdorff spaces. We also give an elementary construction of the condensed set associated to any presheaf on compact Hausdorff spaces.

Keywords

Cite

@article{arxiv.2209.01660,
  title  = {Condensed Sets via free resolutions},
  author = {Damià Rodríguez Banús and Xavier Xarles},
  journal= {arXiv preprint arXiv:2209.01660},
  year   = {2024}
}

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R2 v1 2026-06-28T00:42:23.361Z