A discrete model of O(2)-homotopy theory

作者：Spalinski Jan^*

来源：Journal of Pure and Applied Algebra, 2010, 214(1): 1-5.

DOI：10.1016/j.jpaa.2009.04.013

A. Blumberg has shown that the category of triples consisting of a simplicial set, a cyclic set and appropriate compatibility data serves as a discrete model for the homotopy theory of spaces with an S(1)-action. We show that the category of triples consisting of a Delta(Z/2)-set, dihedral set and appropriate compatibility data serves as a model for the homotopy theory of O(2)-spaces.

• 出版日期2010-1