"continuous" (in this actually incorrect usage, since the correct term is "dense") -> said of an algebraic structure such that for every x != y there exists z

"continuous" (in this actually incorrect usage, since the correct term is "dense") -> said of an algebraic structure such that for every x != y there exists z such that x < z and z < y -> characteristic ("nimi"?) of a set ("poki") where for ("tawa?") all ("ale") thing ("ijo") different ("ante" + "lon"?) than other ("ante" + "nimi"?) thing ("ito") there exists ("lon") a new ("sin") thing ("ijo") such that the first ("wan" + "nimi" + "ito"?) thing is less ("lili") than the new thing ("sin" + "ito"?) and the new thing ("sin" + "ito"?) is less ("lili") that the second thing ("tu" + "nimi" + "ito"?) Would need some way to join into a grammatical structure and probably a preamble that establishes that the context is mathematics.