López Gómez, JuliánSampedro Pascual, Juan Carlos2024-06-142024-06-142023López-Gómez, J., Sampedro, J.C. Orientability through the algebraic multiplicity. J. Fixed Point Theory Appl. 25, 60 (2023). https://doi.org/10.1007/s11784-023-01062-y1661-773810.1007/s11784-023-01062-yhttps://hdl.handle.net/20.500.14352/1049702023 Acuerdos transformativos CRUEThis paper establishes some hidden connections between the theory of generalized algebraic multiplicities, χ, and the notion of orientability of vector bundles. The novel approach adopted in it facilitates the definition of several invariants closely related to the first Stiefel–Whitney characteristic class through some path integration techniques.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article1661-7746https://doi.org/10.1007/s11784-023-01062-yhttps://link.springer.com/article/10.1007/s11784-023-01062-yopen access512517Degree theoryOrientationSpectral theoryAlgebraic multiplicityTopological K-theoryPath integrationAnálisis matemáticoÁlgebra1202 Análisis y Análisis Funcional1202.01 Álgebra de Operadores