A characterization of G-ANR and G-AR spaces for proper actions of Lie groups

作者：Antonyan Natella; Antonyan Sergey A^*; Mata Romero Armando; Vargas Betancourt Enrique

来源：Topology and Its Applications, 2017, 231: 292-305.

DOI：10.1016/j.topol.2017.09.018

• Lie group
• G-ANR
• Equivariant extension
• H-fixed point set
• Proper action

Let G be a matrix Lie group. We prove that a proper G-space X of finite structure, which is metrizable by a G-invariant metric, is a G-ANR (resp., a G-AR) if for any compact subgroup H subset of G the H-fixed point set X-H is an ANR (resp., an AR). An equivariant embedding result for proper G-spaces of finite structure is also obtained.

• 出版日期2017-11-1