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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeDec 6th 2011
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexIn Lemma 5.5.5.10 of Higher Topos Theory, should the conclusion "Then each $S_X$ is strongly saturated in $C_{/X}$" be instead "Then each $S_X$ is saturated in $C_{/X}$"? As it stands, it seems to me that it would assert in particular (taking $X=1$) that any saturated class is strongly saturated, which is certainly not true.

   In Lemma 5.5.5.10 of Higher Topos Theory, should the conclusion “Then each $S_X$ is strongly saturated in $C_{/X}$” be instead “Then each $S_X$ is saturated in $C_{/X}$”? As it stands, it seems to me that it would assert in particular (taking $X=1$) that any saturated class is strongly saturated, which is certainly not true.