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arXiv · 1712.02569

A filter on a collection of finite sets and Eberlein compacta

Tomasz Cieśla
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Abstract

We introduce a $σ$-ideal on $ω_1 \times ω_1$ and a filter on the collection of graphs of strictly decreasing partial functions on $ω_1$ taking values in $ω_1$. We use them to prove that a certain space is a non-bisequential Eberlein compactum.

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Tomasz Cieśla. 2017-12-07. A filter on a collection of finite sets and Eberlein compacta. https://doi.org/10.1016/j.topol.2017.07.011

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