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created placeholder for Hurewicz theorem
I have created several entries today, under construction, and will report more on that in few days, when having time, some are such stubs and some have some real material like Selberg integral.
noticed that Hurewicz theorem was still empty, and briefly added the statement
added to Hurewicz theorem the definition of the Hurewicz homomorphism.
added paragraph (here) indicating the stable version and its generalization to the Boardman homomorphism
Added:
The original reference is
The simplicial version is due to
Re #7: The article is reproduced in its entirety in “Collected Works of Witold Hurewicz”, a book that is available online in Library Genesis.
Here is a full citation:
Koninklijke Akademie van Wetenschappen: Proceedings of the Section of Sciences 38 (1935), 112–119.
Mathematics. — Beiträge zur Topologie der Deformationen (l. Höherdimensionale Homotopiegruppen).
By Dr. W. Hurewicz
(Communicated by Prof. L. E. J. Brouwer).
Right, I should have been more explicit: I am looking for useful hyperlinks that we could provide with the reference item on the nLab page. I guess we dont want to link to Library Genesis from nLab pages to avoid legal trouble.(?) At least thats what I used to not do.
I noticed that the section stating the actual theorem (here) did not mention the cases in degree $\leq 1$. I have now filled that in by essentially copying over the two Propositions to this extent that we did have all along at singular homology.
Also added a kind of Idea-paragraph to before these statements (still here)
Added:
This article is reproduced on pages 341–348 of
Re #9: I think supplying the book name is sufficient, which is what I just did. Everybody knows where to look for books these days. These Google Books links are now quite useless, by the way: it is virtually impossible to look inside. (This used to be quite different 10 years ago or so.)
Okay, sounds good.
Sure, GoogleBooks rarely shows content these days, but in the absence of any published page for a reference, it is at least a kind of online proof of existence.
(Incidentally, some GBooks look inaccessible but do still open up as soon as one uses the “search inside” functionality. Not though in this case, unfortunately.)
ah, great, thanks!
I have also updated the link here
The page used to claim that the Hurewicz theorem is due to (after reformatting):
but I suppose it is really due to part II:
I have fixed this here and instead am adding pointer to part I above at homotopy group.
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