Gromov h-原理的纤维化结构
Fibration structure for Gromov h-principle
摘要：
h-原理是求解偏微分不等式和偏微分方程的有力工具。Gromov发现了一般偏微分关系的h-原理，推广了Hirsch和Smale的结果。在他的书中，格罗莫夫推广了他的定理，并讨论了层理论的h-原理，其中一个称为柔性层的对象起着重要的作用。我们表明，一个灵活的层可以被解释为一个模型结构相对于一个conquerant对象。
英文摘要：
The h-principle is a powerful tool for obtaining solutions to partial differential inequalities and partial differential equations. Gromov discovered the h-principle for the general partial differential relations to generalize the results of Hirsch and Smale. In his book, Gromov generalizes his theorem and discusses the sheaf theoretic h-principle, in which an object called a flexible sheaf plays an important role. We show that a flexible sheaf can be interpreted as a fibrant object with respect to a model structure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
