2016/04/18 by José Seade, Seade, J., Khurram Shabbir +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.1604.05290
When f : R power n to R power p, is a surjective real analytic map with isolated critical value, we prove that the (m)-regularity condition (in a sense we define) ensures that f ||f|| is a fibration on small spheres, f induces a fibration on the tubes and both fibrations are equivalent. In particular, we make the statement of [12] more precise in the case of isolated critical point and we extend it to the case of an isolated critical value.