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What the meaning of "generic" in Colding-Minicozzi's paper "Generic mean curvature flow I; generic singularities"?

What is the exact meaning of "generic" in Colding-Minicozzi's paper "Generic mean curvature flow I; generic singularities"? (DOI link, arXiv link) Is there a specific explanation somewhere? I did not find it in that paper. Does someone know a paper or a book having a expanation of it? Thanks.