TY - JOUR
T1 - Theory of valuations on manifolds, III. multiplicative structure in the general case
AU - Alesker, Semyon
AU - Fu, Joseph H.G.
PY - 2008/4
Y1 - 2008/4
N2 - This is the third part of a series of articles where the theory of valuations on manifolds is constructed. In the second part of this series the notion of a smooth valuation on a manifold was introduced. The goal of this article is to put a canonical multiplicative structure on the space of smooth valuations on general manifolds, thus extending some of the affine constructions from the first author's 2004 paper and, from the first part of this series.
AB - This is the third part of a series of articles where the theory of valuations on manifolds is constructed. In the second part of this series the notion of a smooth valuation on a manifold was introduced. The goal of this article is to put a canonical multiplicative structure on the space of smooth valuations on general manifolds, thus extending some of the affine constructions from the first author's 2004 paper and, from the first part of this series.
UR - http://www.scopus.com/inward/record.url?scp=59249090673&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-07-04489-3
DO - 10.1090/S0002-9947-07-04489-3
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AN - SCOPUS:59249090673
SN - 0002-9947
VL - 360
SP - 1951
EP - 1981
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 4
ER -