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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 $\Omega$, 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.
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