DIFFERENTIAL FORMS ON STRATIFIED SPACES

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GÜRER S., Iglesias-Zemmour P.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.98, sa.2, ss.319-330, 2018 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 98 Sayı: 2
• Basım Tarihi: 2018
• Doi Numarası: 10.1017/s0004972718000436
• Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.319-330
• Galatasaray Üniversitesi Adresli: Evet

Özet

First, we extend the notion of stratified spaces to diffeology. Then we characterise the subspace of stratified differential forms, or zero-perverse forms in the sense of Goresky-MacPherson, which can be extended smoothly into differential forms on the whole space. For that we introduce an index which outlines the behaviour of the perverse forms on the neighbourhood of the singular strata.