强适当强制力对拓扑特性的保护

arXiv - MATH - Logic Pub Date : 2024-08-05 DOI:arxiv-2408.02495

Thomas Gilton, Jared Holshouser

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引用次数: 0

摘要

在本文中，我们证明了对于有一定数量的可数基本子模型来说是强适当的强制力保留了拓扑空间的以下每个性质：可数紧密性；林德尔的；罗斯伯格的；门格尔的；以及罗斯伯格的策略版本。这扩展了道以及岩佐和加田的结果。

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Preservation of Topological Properties by Strongly Proper Forcings

In this paper we show that forcings which are strongly proper for stationarily many countable elementary submodels preserve each of the following properties of topological spaces: countably tight; Lindel\"of; Rothberger; Menger; and a strategic version of Rothberger. This extends results from Dow, as well as from Iwasa and from Kada.

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arXiv - MATH - Logic

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