Conjugate topology of pointwise metric molecular lattices (Q1037940)

The authors present some characterizations of the pointwise pseudo-metric molecular lattices introduced by the reviewer. A series of expressions concerning neighborhood balls and remote-neighborhood balls are obtained. Some algebraic properties of the pointwise pseudo-metric function of molecular lattices are presented and their topological structure is discussed in terms of the conjugate families of mappings. These results show that there exist conjugate relations between neighborhoods and remote-neighborhoods.