Diffeological controlled pseudomanifolds

Gurer S.

TOPOLOGY AND ITS APPLICATIONS, cilt.193, ss.217-225, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 193
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.topol.2015.07.003
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.217-225
  • Galatasaray Üniversitesi Adresli: Evet

Özet

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. (C) 2015 Elsevier B.V. All rights reserved.