product topology


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product topology

[′prä‚dəkt tə′päl·ə·jē]
(mathematics)
A topology on a product of topological spaces whose open sets are constructed from cartesian products of open sets from the individual spaces.
References in periodicals archive ?
Moreover, neutrosophic local compactness and neutrosophic product topology are developed.
Let (H, ) be a hypergroupoid and (H, T ) be a topological space, the cartesian product H x H will be equipped with the product topology.
It is natural to examine whether the topology on the product semigroup is the product topology.
1 it will be shown that a topology on the product semigroup is finner than the product topology and also observed that the two topologies need not be the same because of example 2.
1: The semigroup topology on the product semigroup [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is finer than the product topology on [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
t], when [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and product topology on [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are the same?