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A splitting theorem on smooth metric measure spaces

✍ Scribed by Nguyen Thac Dung


Book ID
118777478
Publisher
Springer
Year
2012
Tongue
English
Weight
190 KB
Volume
99
Category
Article
ISSN
0003-889X

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Lusin's theorem on fuzzy measure spaces
✍ Jun Li; Masami Yasuda πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 258 KB

In this paper, we show that weakly null-additive fuzzy measures on metric spaces possess regularity. Lusin's theorem, which is well-known in classical measure theory, is generalized to fuzzy measure space by using the regularity and weakly null-additivity. A version of Egoro 's theorem for the fuzzy