projective topology

projective topology

[prə‚jek·tiv tə′päl·ə·jē]
(mathematics)
The finest topology on the tensor product of two locally convex topological vector spaces such that the function that maps each element of the Cartesian product of the two spaces to the corresponding element of their tensor product is a continuous function.
References in periodicals archive ?
Then we have [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] which is endowed with the projective topology. By the general duality theory , S'([??]) the dual space of S([??]) can be written as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] which is endowed with the inductive topology, where [S.sub.-p](R) denote the topological dual of the Hilbert space [S.sub.p](R).