English

${\Omega \choose T}\neq {\Omega \choose \Gamma}$

General Topology 2025-09-03 v1

Abstract

We show that the selection principles (ΩT){\Omega\choose T} and (ΩΓ){\Omega\choose\Gamma} are not equal constructing a topological space (X,τ)(X,\tau) that satisfies (ΩT){\Omega \choose T}, but not (ΩΓ){\Omega \choose \Gamma}. This answers a question from arXiv:math/0301011 .

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Cite

@article{arxiv.2509.00032,
  title  = {${\Omega \choose T}\neq {\Omega \choose \Gamma}$},
  author = {Dominic van der Zypen},
  journal= {arXiv preprint arXiv:2509.00032},
  year   = {2025}
}

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3 pages