Dimension of proper G-spaces

作者：Antonyan Sergey A^*; Juarez Anguiano Hugo

来源：Topology and Its Applications, 2011, 158(15): 1910-1919.

DOI：10.1016/j.topol.2011.06.034

• Proper action
• Orbit space
• Covering dimension
• Slice

In this paper. for G a locally compact group (or a Lie group), we study the relationship between the covering dimensions of a proper G-space X and its orbit space X/G. We prove also that dim X = Ind X for every proper G-space X with a metrizable orbit space provided that G is either pro-Lie or a-compact or has a metrizable quotient group of connected components.

• 出版日期2011-9-15