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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 $\sigma$-ideal on $\omega_1 \times \omega_1$ and a filter on the collection of graphs of strictly decreasing partial functions on $\omega_1$ taking values in $\omega_1$. 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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