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Nonvanishing derived limits from clubsuit-type principles

  • Matteo Casarosa
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Abstract

Combinatorial set theory provides several tools to study derived limits of certain inverse systems of abelian groups. Most known nonvanishing results for limn with n>1 depend on some guessing principles of the form wlozenge(S) called weak diamonds. In this paper, we explore some applications of the guessing principle clubsuit(S) and its weakenings instead.

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Cite

BibTeXRIS
BibTeX
@misc{casarosa2026nonvanishing,
  title = {{Nonvanishing derived limits from $\clubsuit$-type principles}},
  author = {Matteo Casarosa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03038},
  eprint = {2609.03038},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03038},
}
RIS
TY  - UNPB
TI  - Nonvanishing derived limits from clubsuit-type principles
AU  - Matteo Casarosa
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.03038
UR  - https://arxiv.org/abs/2609.03038
AB  - Combinatorial set theory provides several tools to study derived limits of certain inverse systems of abelian groups. Most known nonvanishing results for lim^n with n>1 depend on some guessing principles of the form wlozenge(S) called weak diamonds. In this paper, we explore some applications of the guessing principle clubsuit(S) and its weakenings instead.
ER  -