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1. • CommentRowNumber1.
   • CommentAuthorDmitri Pavlov
   • CommentTime13 hours ago
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded: The [[large cardinal]] strength of the weak Vopěnka principle is discussed in * [[Trevor M. Wilson]], _The large cardinal strength of Weak Vopěnka's Principle_, [arXiv](https://arxiv.org/abs/1907.00284). The following paper shows that weak Vopěnka's principle is indeed weaker than Vopěnka's principle: * [[Trevor M. Wilson]], _Weak Vopěnka's Principle does not imply Vopěnka's Principle_, [arXiv](https://arxiv.org/abs/1909.09333). <a href="https://ncatlab.org/nlab/revision/diff/Vop%C4%9Bnka%27s+principle/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/Vop%C4%9Bnka%27s+principle/21">v21</a>, <a href="https://ncatlab.org/nlab/show/Vop%C4%9Bnka%27s+principle">current</a>

   Added:

   The large cardinal strength of the weak Vopěnka principle is discussed in

   • Trevor M. Wilson, The large cardinal strength of Weak Vopěnka’s Principle, arXiv.

   The following paper shows that weak Vopěnka’s principle is indeed weaker than Vopěnka’s principle:

   • Trevor M. Wilson, Weak Vopěnka’s Principle does not imply Vopěnka’s Principle, arXiv.

   diff, v21, current

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTime13 hours ago
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded: Applications to localizations of presentable (∞,1)-categories are discussed in * [[Carles Casacuberta]], [[Javier J. Gutiérrez]], _Homotopy reflectivity is equivalent to the weak Vopěnka principle_, [arXiv](https://arxiv.org/abs/2410.21244). <a href="https://ncatlab.org/nlab/revision/diff/Vop%C4%9Bnka%27s+principle/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/Vop%C4%9Bnka%27s+principle/21">v21</a>, <a href="https://ncatlab.org/nlab/show/Vop%C4%9Bnka%27s+principle">current</a>

   Added:

   Applications to localizations of presentable (∞,1)-categories are discussed in

   • Carles Casacuberta, Javier J. Gutiérrez, Homotopy reflectivity is equivalent to the weak Vopěnka principle, arXiv.

   diff, v21, current