@article{10902/37977, year = {2023}, url = {https://hdl.handle.net/10902/37977}, abstract = {This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, X, 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.}, organization = {The authors have been supported by the Research Grant PID2021-123343NB-I00 of the Ministry of Science and Innovation of Spain, and by the Institute of Interdisciplinar Mathematics of Complutense University. The second author has been also supported by PhD Grant PRE2019 1 0220 of the Basque Country Government.}, publisher = {Journal of Fixed Point Theory and Applications, 2023, 25(60), 1-29}, title = {Orientability through the algebraic multiplicity}, author = {López-Gómez, Julián and Sampedro Pascual, Juan Carlos}, }