A generalization of the Hopf degree theorem
| dc.contributor.author | Kvalheim, Matthew D. | |
| dc.date.accessioned | 2023-10-23T15:37:22Z | |
| dc.date.available | 2023-10-23T15:37:22Z | |
| dc.date.issued | 2022-10-07 | |
| dc.description.abstract | The 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. | en_US |
| dc.description.sponsorship | This work was funded by ONR N00014-16-1-2817, a Vannevar Bush Faculty Fellowship sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering. | en_US |
| dc.description.uri | https://www.ams.org/journals/proc/2023-151-01/S0002-9939-2022-16218-2/ | en_US |
| dc.format.extent | 2 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2xbhd-bcn1 | |
| dc.identifier.citation | Kvalheim, 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. | en_US |
| dc.identifier.uri | https://doi.org/10.1090/proc/16218 | |
| dc.identifier.uri | http://hdl.handle.net/11603/30338 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.rights | This 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. | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 4.0 International | * |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.en | * |
| dc.title | A generalization of the Hopf degree theorem | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0002-2662-6760 | en_US |