Geodesic
Equivariant bundles
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 23-30

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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, $H$-fixed point, $H$-orbit space, normal $G$-covering, weakly locally trivial $G$-bundle.
Mots-clés : equivariant homotopy 
P. S. Gevorgyan. Equivariant bundles. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 23-30. http://geodesic.mathdoc.fr/item/INTO_2020_180_a3/
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