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Indagationes Mathematicae
Article . 2021 . Peer-reviewed
License: Elsevier TDM
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https://dx.doi.org/10.48550/ar...
Article . 2020
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Compact spaces with a P-base

Authors: Alan Dow; Ziqin Feng;

Compact spaces with a P-base

Abstract

In the paper, we investigate (scattered) compact spaces with a $P$-base for some poset $P$. More specifically, we prove that, under the assumption $��_1

Keywords

Consistency and independence results in general topology, free sequences, Tukey order, Compactness, Continuum hypothesis and Martin's axiom, scattered spaces, Base properties of topological spaces, General Topology (math.GN), tightness, Cardinal characteristics of the continuum, character, \(\omega^\omega\)-base, Ordered sets and their cofinalities; pcf theory, calibre \(\aleph_1\), FOS: Mathematics, compact spaces, Mathematics - General Topology

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green