Theory of valuations on manifolds, III. Multiplicative structure in the general case
نویسندگان
چکیده
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This is the fourth part in the series of articles [4], [5], [6] (see also [3]) where the theory of valuations on manifolds is developed. In this part it is shown that the filtration on valuations introduced in [5] is compatible with the product. Then it is proved that the Euler-Verdier involution on smooth valuations introduced in [5] is an automorphism of the algebra of valuations. Then an int...
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متن کاملN ov 2 00 5 Theory of valuations on manifolds , IV . New properties of the multiplicative structure
This is the fourth part in the series of articles [4], [5], [6] (see also [3]) where the theory of valuations on manifolds is developed. In this part it is shown that the filtration on valuations is compatible with the product. Then it is proved that the Euler-Verdier involution on smooth valuations is an automorphism of the algebra of valuations. Then an integration functional on valuations wi...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2007
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-07-04489-3