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We construct an affine Whitney stratification of<jats:italic>X<\/jats:italic>. The set<jats:italic>K<\/jats:italic>(<jats:italic>f<\/jats:italic>) of stratified generalized critical values of<jats:italic>f<\/jats:italic>can also be computed. We show that<jats:italic>K<\/jats:italic>(<jats:italic>f<\/jats:italic>) is a nowhere dense subset of<jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathbb {C}}^m$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mrow><mml:mi>C<\/mml:mi><\/mml:mrow><mml:mi>m<\/mml:mi><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>which contains the set<jats:italic>B<\/jats:italic>(<jats:italic>f<\/jats:italic>) of bifurcation values of<jats:italic>f<\/jats:italic>by proving a version of the Thom isotopy lemma for nonproper polynomial maps on singular varieties.<\/jats:p>","DOI":"10.1007\/s00454-019-00087-w","type":"journal-article","created":{"date-parts":[[2019,4,16]],"date-time":"2019-04-16T09:03:50Z","timestamp":1555405430000},"page":"279-304","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Thom Isotopy Theorem for Nonproper Maps and Computation of Sets of Stratified Generalized Critical Values"],"prefix":"10.1007","volume":"65","author":[{"given":"S\u0129 Ti\u1ec7p","family":"\u00d0inh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zbigniew","family":"Jelonek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,4,15]]},"reference":[{"key":"87_CR1","doi-asserted-by":"publisher","first-page":"39","DOI":"10.4064\/ap87-0-4","volume":"87","author":"D D\u2019Acunto","year":"2005","unstructured":"D\u2019Acunto, D., Grandjean, V.: On gradient at infinity of semialgebraic functions. 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