About: Proper forcing axiom

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Set theory axiom that if 𝑃 is a proper forcing and 𝐷(𝛼) is a dense subset of 𝑃 for each 𝛼<ω₁, then there is a filter 𝐺⊆𝑃 such that 𝐷(𝛼)∩𝐺 is nonempty for all 𝛼<ω₁

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  • założenie w teorii mnogości dotyczące porządków; spoza aksjomatyki ZF (pl)
  • set theory axiom that if 𝑃 is a proper forcing and 𝐷(𝛼) is a dense subset of 𝑃 for each 𝛼<ω₁, then there is a filter 𝐺⊆𝑃 such that 𝐷(𝛼)∩𝐺 is nonempty for all 𝛼<ω₁ (en)
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  • Proper forcing axiom (en)
  • PFA (aksjomat) (pl)
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