In [6,11], A theory of pointwise pseudo-quasi-metrics was based on completely distributive lattices. In this paper a product pointwise p.q. metric function is constructed on the product of countably many molecular lat...In [6,11], A theory of pointwise pseudo-quasi-metrics was based on completely distributive lattices. In this paper a product pointwise p.q. metric function is constructed on the product of countably many molecular lattices by distance functions. Hence it is proved that countable product of pointwise pseudo-quasi-metric molecular lattices is pointwise pseudo-quasi-metrizable.展开更多
基金Supported by the National Natural Science Foundation of China (19971059)
文摘In [6,11], A theory of pointwise pseudo-quasi-metrics was based on completely distributive lattices. In this paper a product pointwise p.q. metric function is constructed on the product of countably many molecular lattices by distance functions. Hence it is proved that countable product of pointwise pseudo-quasi-metric molecular lattices is pointwise pseudo-quasi-metrizable.
