In many articles about topology, Reeb space etc. I came accross the term generic map, or generic smooth map but I haven't found any definition of such "genericity"... could you help me ?
Example of use from https://pdfs.semanticscholar.org/36ea/f7d4db2653769b39ff7927c38e812f3eba87.pdf :
We study the local and global structure of this space for generic, piecewise linear mappings on a combinatorial manifold.