De Rham theorem for Whitney functions

被引：0
作者：
Luca Prelli
机构：
[1] Università di Padova,Dipartimento di Matematica
来源：
Mathematische Zeitschrift | 2019年 / 293卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let M be a real analytic manifold, F a bounded complex of constructible sheaves. We show that the Whitney–de Rham complex associated to F is quasi-isomorphic to F.
引用
收藏
页码：1623 / 1632
页数：9
相关论文
共 10 条
  • [1] Aizenbud A(2010)The de Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds Israel J. Math. 177 155-188
  • [2] Gourevitch D(2008)On the homology of algebras of Whitney functions over subanalytic sets Ann. Math. 167 1-52
  • [3] Brasselet JP(2016)A Poincaré Lemma for Whitney–de Rham complex Rend. Sem. Mat. Univ. Padova 135 151-156
  • [4] Pflaum MJ(1994)Lipschitz stratification of subanalytic sets Annales Sci. Éc. Norm. Sup. 27 661-696
  • [5] Chen HY(2016)Regular subanalytic covers Astérisque 383 95-102
  • [6] Parusinski A(2008)Sheaves on subanalytic sites Rend. Sem. Mat. Univ. Padova 120 167-216
  • [7] Parusinski A(1934)Analytic extensions of differentiable functions defined in closed sets Trans. Am. Math. Soc. 36 63-89
  • [8] Prelli L(1934)Functions differentiable on the boundaries of regions Ann. Math. 35 482-485
  • [9] Whitney H(undefined)undefined undefined undefined undefined-undefined
  • [10] Whitney H(undefined)undefined undefined undefined undefined-undefined
1