Moore-Smith convergence

Moore-Smith convergence [′mu̇r ′smith kən′vər·jəns]

(mathematics)

Convergence of a net to a pointxin a topological space, in the sense that for each neighborhood ofxthere is an elementaof the directed system that indexes the net such that, ifbis also an element of this directed system andb≥a, thenx_b(the element indexed byb) is in this neighborhood.