TURKISH JOURNAL OF MATHEMATICS, vol.42, no.4, pp.1556-1565, 2018 (SCI-Expanded)
The localization theorem is known for compact G-spaces, where G is a compact Lie group. In this study, we show that the localization theorem remains true for finite-dimensional compact group actions, and Borel's fixed point theorem holds not only for torus actions but for arbitrary finite-dimensional compact connected abelian group actions.