(This article was originally published at Statistical Modeling, Causal Inference, and Social Science, and syndicated at StatsBlogs.)
Dominic on stan-users writes:
I was reading through http://arxiv.org/pdf/1410.5110v1.pdf and came across the term with which I was not familiar: “paracompact.” I wrote a short blog post about it: https://idontgetoutmuch.wordpress.com/2016/04/17/every-manifold-is-paracompact. It may be of interest to other folks reading the aforementioned paper. I would have used a partition of unity to justify the corollary myself but now I understand paracompactness.
And Betancourt replied:
The relevance of paracompactness (and how it follows immediately from local compactness and second-countabilitity) is discussed in Lee’s “Smooth Manifolds.” That is by far the best reference on differential geometry that I have yet to come across.
I don’t know what they’re talking about but I thought it might interest some of you.
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