Tracing through a trail of references I found myself needing something proven in Appendix A of "The Stable Category and Generalized Thom Spectra" by Gaunce Lewis (I believe this was his thesis at UChicago under Peter May, from 1978). My library doesn't seem to have a copy and I can't find anything online. Does anyone know where I could find this?

Before anyone suggests it, I'll remark that I can't contact Lewis himself because he passed away several years ago. I guess I'm hoping Peter May will come on here and know where a copy can be found.

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    $\begingroup$ Peter May does appear on here occasionally. Can't you contact the math department at Chicago? They must have a copy, though maybe not in electronic form. $\endgroup$ – Geoff Robinson May 2 '13 at 20:17
  • $\begingroup$ Whatever you're looking for may well be proven in LMS but with a G everywhere... $\endgroup$ – Dylan Wilson May 2 '13 at 20:28
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    $\begingroup$ There is a copy available at Crerar Library at Chicago. I'll stop by this evening and scan the appendix for you. $\endgroup$ – Alex Becker May 2 '13 at 20:31
  • $\begingroup$ @Alex: in light of the answer below it appears that scanning it in won't be necessary. Thanks for your kind offer, though. $\endgroup$ – David White May 2 '13 at 21:29

Peter has been so kind to scan it a while ago. Maybe he has already put it on his webpage. Here is another link that should work.


  • $\begingroup$ The link you posted (and the logical variations of it I tried) generates a 403 error for me. Perhaps it is only available on your local network? $\endgroup$ – Alex Becker May 2 '13 at 20:39
  • $\begingroup$ I was also forbidden to access it $\endgroup$ – Geoff Robinson May 2 '13 at 20:42
  • $\begingroup$ Fantastic! Thanks to Markus and Dan for providing this $\endgroup$ – David White May 2 '13 at 21:28

My apologies to everyone, and especially to Markus. He got me to get this scanned, and I sent him a copy; I also promised to put it on my web page, but I only just now did so: http://www.math.uchicago.edu/~may/MISC/GaunceApp.pdf

Alex, that would be nice, and drop in and say hello some time.

Unfortunately, I do not actually have a copy of Gaunce's thesis, so what is posted is only Appendix A, ``Compactly generated spaces''. Most, maybe all, of the rest evolved into much of Springer Lecture Notes Vol 1213, http://www.math.uchicago.edu/~may/BOOKS/equi.pdf

Gaunce's thesis was 1978, and SLN 1213 only appeared in 1986. We did a ton of work in that time, and I doubt that there would be much besides Appendix A that is of current interest. However, Appendix A is to my mind (and the minds of others) the nicest and most informative treatment of compactly generated spaces, and that part is not at all duplicated in SLN 1213.

  • $\begingroup$ Thanks for your answer, and the links. I look forward to reading this, now that I have it. $\endgroup$ – David White May 3 '13 at 2:08
  • $\begingroup$ This is relevant to the answers to mathoverflow.net/questions/127841/128362#128362 I mentioned there Peter Johnson'e paper on a "Topologiacal Topos", and I notice that this idea is endorsed by Gaunce in his final section of the Appendix. $\endgroup$ – Ronnie Brown May 7 '13 at 13:55

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