Errata: on the role of the continuum hypothesis in forcing principles for subcomplete forcing

Archive for Mathematical Logic 63 (5):509-521 (2024)
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Abstract

In this note, I will list instances where in the literature on subcomplete forcing and its forcing principles (mostly in articles of my own), the assumption of the continuum hypothesis, or that we are working above the continuum, was omitted. I state the correct statements and provide or point to correct proofs. There are also some new results, most of which revolve around showing the necessity of the extra assumption.

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References found in this work

Diagonal reflections on squares.Gunter Fuchs - 2019 - Archive for Mathematical Logic 58 (1-2):1-26.
Closure properties of parametric subcompleteness.Gunter Fuchs - 2018 - Archive for Mathematical Logic 57 (7-8):829-852.
Canonical fragments of the strong reflection principle.Gunter Fuchs - 2021 - Journal of Mathematical Logic 21 (3):2150023.

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