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arXiv · 1112.5272

Subtleties of the minmax selector

Wei Qiaoling
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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.

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Wei Qiaoling. 2011-12-22. Subtleties of the minmax selector. https://arxiv.org/abs/1112.5272

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