出典:Wikipedia
出典:『Wikipedia』 (2010/02/16 16:50 UTC 版)
In mathematics, Sullivan conjecture can refer to any of several results and conjectures prompted by homotopy theory work of Dennis Sullivan. A basic theme and motivation concerns the fixed point set in group actions of a finite group G. The most elementary formulation, however, is in terms of the classifying space BG of such a group. Roughly speaking, it is difficult to map such a space BG continuously into a finite CW complex X. Such a version of the Sullivan conjecture was first proved by Haynes Miller.