Diffeological controlled pseudomanifolds

作者：Gurer Serap^*

来源：Topology and Its Applications, 2015, 193: 217-225.

DOI：10.1016/j.topol.2015.07.003

• Diffeological spaces
• Controlled pseudomanifolds
• Thom-Mather stratified spaces
• Intersection differential forms

We show that diffeological De Rham cohomology of a controlled pseudomanifold equipped with quotient diffeology is isomorphic to the singular cohomology with real coefficients of controlled pseudomanifold. Moreover, we show that diffeological differential forms of normalisation of a controlled pseudomanifold are isomorphic to zero perverse differential forms of their diffeological unfolding.

• 出版日期2015-9-15