@article{discovery10185490,
       publisher = {University of Bologna},
          volume = {14},
           month = {January},
           pages = {201--228},
            note = {Copyright (c) 2024 Marcello Malagutti. This work is licensed under a Creative Commons Attribution 3.0 Unported License.},
           title = {Regularity and Semialgebraicity of Solutions of Linear EquationsSystems},
            year = {2024},
         journal = {Bruno Pini Mathematical Analysis Seminar},
          number = {2},
          author = {Malagutti, Marcello},
        abstract = {This work is concerned with the study of a necessary and sufficient condition for the existence of solutions with a given regularity to a system of linear equations with coefficients of given regularity. First, to properly contextualize the subject matter and to introduce crucial analytical solving tools, we go through results by C.Fefferman- J.Koll{\'a}r and by C.Fefferman - G.K.Luli.
Then we prove our result to determine a necessary and sufficient condition for the existence of continuous (C0) semialgebraic solutions in case of a system of linear equations with continuous semialgebraic coefficients.},
             url = {https://doi.org/10.6092/issn.2240-2829/18866},
        keywords = {Linear equations system, semialgebraic solution, Glaeser refinement, bundle section, semialgebraic set},
            issn = {2240-2829}
}