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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJul 10th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a few more _[Examples](http://ncatlab.org/nlab/show/reduction+of+structure+groups#Examples)_ to _[[reduction of structure groups]]_.

   added a few more Examples to reduction of structure groups.

2. • CommentRowNumber2.
   • CommentAuthorjim_stasheff
   • CommentTimeJul 10th 2012
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   Author: jim_stasheff
   Format: TextThough it contradicts the street meaning of reduction, Spin to SO gives reduction

   Though it contradicts the street meaning of reduction, Spin to SO gives reduction
3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 10th 2012
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   Author: Urs
   Format: MarkdownItexThe entry is about both, reduction and lifts. I have renamed it now ("lift of structure group" only used to reidrect to it.) But see [Remark 1](http://ncatlab.org/nlab/show/reduction+and+lift+of+structure+groups#EpiMonoNonintrinsic): in the full theory of principal $\infty$-bundles the distinction disappears anyway.

   The entry is about both, reduction and lifts. I have renamed it now (“lift of structure group” only used to reidrect to it.)

   But see Remark 1: in the full theory of principal $\infty$-bundles the distinction disappears anyway.