We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch formula holds.
DÖNMEZ, D. (1998) "On the Validity of the Borel-Hirzebruch Formula for Topological Actions," Turkish Journal of Mathematics: Vol. 22: No. 2, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol22/iss2/7