Abstract:
In this paper, we study equivariant Hurewicz bundles, obtain their internal characteristics, and prove theorems on relationship between equivariant bundles and bundles generated by them. Local and global properties of equivariant bundles are examined. An equivariant analog of the Hurewicz theorem on passing from local bundles to global bundles is proved. A classification of equivariant bundles with the uniqueness property of the covering path is given.
Keywords:equivariant covering homotopy, equivariant bundles, equivariant homotopy, $H$-fixed point, $H$-orbit space, normal $G$-covering, weakly locally trivial $G$-bundle.
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