Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Homotopy Lie groups
HTML articles powered by AMS MathViewer

by Jesper M. Møller PDF
Bull. Amer. Math. Soc. 32 (1995), 413-428 Request permission


Homotopy Lie groups, recently invented by W.G. Dwyer and C.W. Wilkerson [13], represent the culmination of a long evolution. The basic philosophy behind the process was formulated almost 25 years ago by Rector [32, 33] in his vision of a homotopy theoretic incarnation of Lie group theory. What was then technically impossible has now become feasible thanks to modern advances such as Miller’s proof of the Sullivan conjecture [25] and Lannes’s division functors [22]. Today, with Dwyer and Wilkerson’s implementation of Rector’s vision, the tantalizing classification theorem seems to be within grasp. Supported by motivating examples and clarifying exercises, this guide quickly leads, without ignoring the context or the proof strategy, from classical finite loop spaces to the important definitions and striking results of this new theory.
Similar Articles
  • Retrieve articles in Bulletin of the American Mathematical Society with MSC: 55R35, 55P35
  • Retrieve articles in all journals with MSC: 55R35, 55P35
Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 32 (1995), 413-428
  • MSC: Primary 55R35; Secondary 55P35
  • DOI:
  • MathSciNet review: 1322786