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 -