A topological approach to non-Archimedean Mathematics

@article{Benci2014ATA,
  title={A topological approach to non-Archimedean Mathematics},
  author={Vieri Benci and Lorenzo Luperi Baglini},
  journal={arXiv: Logic},
  year={2014},
  pages={17-40}
}
  • Vieri Benci, Lorenzo Luperi Baglini
  • Published 2014
  • Mathematics
  • arXiv: Logic
  • Non-Archimedean mathematics (in particular, nonstandard analysis) allows to construct some useful models to study certain phenomena arising in PDE's; for example, it allows to construct generalized solutions of differential equations and variational problems that have no classical solution. In this paper we introduce certain notions of non-Archimedean mathematics (in particular, of nonstandard analysis) by means of an elementary topological approach; in particular, we construct non-Archimedean… CONTINUE READING