@article{a98e7d6a-623d-4fdd-b62f-9e4b1b66a64f,
author = {Łukasz Maciejewski},
title = {Vector bundles on real algebraic curves},
journal = {Universitatis Iagellonicae Acta Mathematica},
volume = {2012},
number = {Tom 50},
year = {2012},
issn = {0083-4386},
pages = {63-68},keywords = {Real algebraic curve; algebraic vector bundle; approximation of continuous maps by regular maps},
abstract = {We prove that any topological real line bundle on a compact real algebraic curve X is isomorphic to an algebraic line bundle. The result is then generalized to vector bundles of an arbitrary constant rank. As a consequence we prove that any continuous map from X into a real Grassmannian can be approximated by regular maps.},
doi = {10.4467/20843828AM.12.003.1123},
url = {https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/vector-bundles-on-real-algebraic-curves}
}