Subtleties of the minmax selector
Symplectic Geometry
2011-12-23 v1
Abstract
In this note, we show that the minmax and maxmin critical values of a function quadratic nondegenerate at infinity are equal when defined in homology or cohomology with coefficients in a field. However, by an example of F.Laudenbach, this is not always true for coefficients in a ring and, even in the case of a field, the minmax-maxmin depends on the field.
Cite
@article{arxiv.1112.5272,
title = {Subtleties of the minmax selector},
author = {Wei Qiaoling},
journal= {arXiv preprint arXiv:1112.5272},
year = {2011}
}
Comments
12 pages