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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 12th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexam giving this its own page, for ease of cross-linking and referencing <a href="https://ncatlab.org/nlab/revision/Cartan%27s+closed+subgroup+theorem/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Cartan%27s+closed+subgroup+theorem">current</a>

   am giving this its own page, for ease of cross-linking and referencing

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 12th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexNot sure about the versioning of Lee's textbook. Wikipedia says it's Theorem 20.10 in there, apparently referring to the 2003 version. The copy I am looking at is apparently re-printed in 2013 and has it as Theorem 20.12. But anyway. <a href="https://ncatlab.org/nlab/revision/Cartan%27s+closed+subgroup+theorem/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Cartan%27s+closed+subgroup+theorem">current</a>

   Not sure about the versioning of Lee’s textbook. Wikipedia says it’s Theorem 20.10 in there, apparently referring to the 2003 version. The copy I am looking at is apparently re-printed in 2013 and has it as Theorem 20.12. But anyway.

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 12th 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded a reference to Theorem 5.81 in Lee's textbook. <a href="https://ncatlab.org/nlab/revision/diff/Cartan%27s+closed+subgroup+theorem/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/Cartan%27s+closed+subgroup+theorem/3">v3</a>, <a href="https://ncatlab.org/nlab/show/Cartan%27s+closed+subgroup+theorem">current</a>

   Added a reference to Theorem 5.81 in Lee’s textbook.

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 12th 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAmended bibliography: Textbook accounts: * {#Lee12} [[John Lee]], Theorem 20.12 in: _Introduction to Smooth Manifolds_, Second Edition, Graduate Texts in Mathematics 218 (2012), Springer ([doi:10.1007/978-1-4419-9982-5](https://doi.org/10.1007/978-1-4419-9982-5), [book webpage](https://sites.math.washington.edu/~lee/Books/ISM/), [pdf](https://lost-contact.mit.edu/afs/adrake.org/usr/rkh/Books/books/Introduction%20to%20Smooth%20Manifolds%20-%20J.%20Lee.pdf)) Theorem 5.81 in * [[Jeffrey M. Lee]], _Manifolds and Differential Geometry_, Graduate Studies in Mathematics 107 (2009), AMS. [doi:10.1090/gsm/107](https://doi.org/10.1090/gsm/107). <a href="https://ncatlab.org/nlab/revision/diff/Cartan%27s+closed+subgroup+theorem/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/Cartan%27s+closed+subgroup+theorem/3">v3</a>, <a href="https://ncatlab.org/nlab/show/Cartan%27s+closed+subgroup+theorem">current</a>

   Amended bibliography:

   Textbook accounts:

   • {#Lee12} John Lee, Theorem 20.12 in: Introduction to Smooth Manifolds, Second Edition, Graduate Texts in Mathematics 218 (2012), Springer (doi:10.1007/978-1-4419-9982-5, book webpage, pdf)

   Theorem 5.81 in

   • Jeffrey M. Lee, Manifolds and Differential Geometry, Graduate Studies in Mathematics 107 (2009), AMS. doi:10.1090/gsm/107.

   diff, v3, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 3rd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexcross-linked with *[[continuous homomorphisms of Lie groups are smooth]]* and added pointer to: * [[Zuoqin Wang]], *Cartan's closed subgroup theorem*, Lecture 11 in: [李群引论](http://staff.ustc.edu.cn/~wangzuoq/Courses/13F-Lie/Lie.html), 2013 ([pdf](http://staff.ustc.edu.cn/~wangzuoq/Courses/13F-Lie/Notes/Lec%2011.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/Cartan%27s+closed+subgroup+theorem/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Cartan%27s+closed+subgroup+theorem/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Cartan%27s+closed+subgroup+theorem">current</a>

   cross-linked with continuous homomorphisms of Lie groups are smooth

   and added pointer to:

   • Zuoqin Wang, Cartan’s closed subgroup theorem, Lecture 11 in: 李群引论, 2013 (pdf)

   diff, v4, current