English

A filter on a collection of finite sets and Eberlein compacta

General Topology 2017-12-08 v1

Abstract

We introduce a σ\sigma-ideal on ω1×ω1\omega_1 \times \omega_1 and a filter on the collection of graphs of strictly decreasing partial functions on ω1\omega_1 taking values in ω1\omega_1. We use them to prove that a certain space is a non-bisequential Eberlein compactum.

Keywords

Cite

@article{arxiv.1712.02569,
  title  = {A filter on a collection of finite sets and Eberlein compacta},
  author = {Tomasz Cieśla},
  journal= {arXiv preprint arXiv:1712.02569},
  year   = {2017}
}
R2 v1 2026-06-22T23:10:49.881Z