Subject: Re: three postings
From: Bill Dwyer <dwyer.1@nd.edu>

Notbohm proves in the paper below that if G and K are compact Lie
groups, then BG is homotopy equivalent to BK if and only if G is
isomorphic to K. 

Bill

@article {MR1345725,
    AUTHOR = {Notbohm, Dietrich},
     TITLE = {On the ``classifying space'' functor for compact {L}ie 
groups},
   JOURNAL = {J. London Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {52},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {185--198},
      ISSN = {0024-6107},
     CODEN = {JLMSAK},
   MRCLASS = {55R35 (22E15)},
  MRNUMBER = {MR1345725 (96g:55019)},
MRREVIEWER = {Jay A. Wood},
}