Kvalheim, Matthew D.2023-10-232023-10-232022-10-07Kvalheim, Matthew. “A Generalization of the Hopf Degree Theorem.” Proceedings of the American Mathematical Society 151, no. 01 (January 2023): 453–54. https://doi.org/10.1090/proc/16218.https://doi.org/10.1090/proc/16218http://hdl.handle.net/11603/30338The Hopf theorem states that homotopy classes of continuous maps from a closed connected oriented smooth 𝒏-manifold 𝑴 to the 𝒏-sphere are classified by their degree. Such a map is equivalent to a section of the trivial 𝒏-sphere bundle over 𝑴. A generalization of the Hopf theorem is obtained for sections of nontrivial oriented 𝒏-sphere bundles over 𝑴.2 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Attribution-NonCommercial-NoDerivs 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.enText