Two more postings on lim-i...........DMD ___________________________________ Subject: Re:lim^1 Date: Tue, 24 Jul 2001 14:41:36 -1000 (HST) From: Chris Allday Prof. Yeh did indeed write a thesis on derived functors of the inverse limit under Milnor in 1959. It was never published. At the time he was known as Z.Z. Yeh, but he later changed that to R.Z. (Rui Zong); maybe it was a matter of transliterating Chinese into English. He retired last year. Chris. ----------------------------+---------------------------------------- Chris Allday | INTERNET: chris@math.hawaii.edu Department of Mathematics | University of Hawaii | 2565 The Mall | Phone: (808) 956-7217 Honolulu, Hawaii 96822 | Fax: (808) 956-9139 ----------------------------+---------------------------------------- _________________________________________________ Subject: History of lim^(i) Date: Wed, 25 Jul 2001 18:34:33 +0200 (MET DST) From: "Christian U. Jensen" Jesper Grodal has turned my attention to the discussion about the origin of the derived functors of lim. In the summer 1971 I wrote a booklet in Springer Lect.Notes in Math. (Vol.254) about these functors. I am afraid that at that time I did not make a very thorough investigation on the history of lim^(i). My main source was the paper in TOPOLOGY (the very first issue (from 1962) by G. Noebeling: Ueber die Derivierten des inversen und direkten Limes, p.47-61. In this paper he refers to Z.Z.Yeh: Higher inverse limits and homology theories, Dissertation, Princeton University, 1959. and to J.Milnor: On the Steenrod homology theory, Manuscript (but no year!). To-day I just looked up again this volume one of TOPOLOGY and noticed that the very first paper (pp. 1-23) is by S.Eilenberg and J.C.Moore, where there is a reference to the thesis by Yeh, who is here called J.Z.Yeh(!) In the summer of 1972 there was a meeting in Oberwolfach where I met Eilenberg. If I remember correctly, I got the impression that lim^(i) ( in disguised form) was first (at least ten years before Yeh) considered by Steenrod who, however, never made any "official" publication on that subject. Sincerely Chr.U.Jensen