Gunther Jager - School of Mechanical Engineering, University of Applied Sciences Stralsund, ۱۸۴۳۵ Stralsund, Germany

We study different completeness definitions for two categories of lattice-valued Cauchy spaces and the relations between these definitions. We also show the equivalence of a so-called completion axiom and the existence of a completion.

L-topology, L-Cauchy space, completeness, Completion