Regularity at infinity of real mappings and a Morse-Sard theorem

Details Regularity at infinity of real mappings and a Morse-Sard theorem Regularity at infinity of real mappings and a Morse-Sard theorem

2011-03-29

arxiv.org/abs/1103.5715v1

Mathematics

Algebraic Geometry

Scientific paper

We prove a new Morse-Sard type theorem for the asymptotic critical values of semi-algebraic mappings and a new fibration theorem at infinity for $C^2$ mappings. We show the equivalence of three different types of regularity conditions which have been used in the literature in order to control the asymptotic behaviour of mappings. The central role of our picture is played by the $t$-regularity and its bridge toward the $\rho$-regularity which implies topological triviality at infinity.

Affiliated with

Also associated with

No associations

Rating

Regularity at infinity of real mappings and a Morse-Sard theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regularity at infinity of real mappings and a Morse-Sard theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity at infinity of real mappings and a Morse-Sard theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164270