TITLE

Obstructions to the existence of fold maps

AUTHOR(S)
Sadykov, Rustam; Saeki, Osamu; Sakuma, Kazuhiro
PUB. DATE
April 2010
SOURCE
Journal of the London Mathematical Society;Apr2010, Vol. 81 Issue 2, p338
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study smooth maps between smooth manifolds with only fold points as their singularities, and clarify the obstructions to the existence of such a map in a given homotopy class for certain dimensions. The obstructions are described in terms of characteristic classes, which arise as Postnikov invariants, and can be interpreted as primary and secondary obstructions to the elimination of certain singularities. We also discuss the relationship between the existence problem of fold maps and that of vector fields of stabilized tangent bundles.
ACCESSION #
53297139

 

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