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I have added a bit more plus some links. This required writing a stub on pro-spaces as this was lacking and was needed in several other entries.
I have expanded fundamental group: filled in all the little details that were omitted previously in a list of Definitions/Remarks/Propositions. But only up to and ex-cluding the section “Generalizations”. (This section needs to be connected with étale homotopy, eventually.)
Also added a comment pointing to the relation to first singular homology and then started an Examples-section.
I have added stuff to algebraic fundamental group adapted from some notes of Tomás Szamuely, which I have given as reference. The entry is still stubby and I need to work out several points that are obscure (like what is Ω, but thought it better to get something down rather than to leave the entry very empty (I had promised myself 18 months ago to do something about this subject … better late than never. :-)) I also started a web page on Szamuely but this is just a link to his homepage (He looks to have some good sets of notes and other interesting stuff.)
I started a page on what Borceux and Janelidze call the Chevalley fundamental group. This is the algebraic / Grothendieck approach to the usual fundamental group, at least on spaces having a universal covering. They gave Chevalley’s book on Lie groups as the source.
Thanks, Tim. Maybe it would be better to post these announcements in the other thread, though.
Have done.
added pointer to
here and elsewhere
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