Title: Fibration structure for Gromov h-principle Show Chinese title

Title: 纤维结构对于Gromov h-原理

Abstract: 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. Show Chinese abstract

Abstract: h-原理是获得偏微分不等式和偏微分方程解的强大工具。 Gromov发现了适用于一般偏微分关系的h-原理，以推广Hirsch和Smale的结果。 在他的书中，Gromov推广了他的定理并讨论了层论的h-原理，在其中一个称为灵活层的对象起着重要作用。 我们证明，灵活层可以解释为相对于某种模型结构的纤维对象。