This note contains two results relating to the problem of whether the Open Coloring Axiom implies that the continuum is ${\mathrm{\aleph }}_2$. It also establishes that Farah's ${\mathrm{OCA}}_{\infty }$ is equivalent to OCA.

中文翻译：

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关于开放着色公理的一些评论

本注释包含两个有关开放着色公理是否暗示连续体为 ${\mathrm{\aleph }}_2$。它还确定了法拉的${\mathrm{OCA}}_{\infty }$ 相当于OCA。