Remarks on completeness of lattice-valued Cauchy spaces

نویسندگان
Jager, Gunther ID 1

1 School of Mechanical Engineering, University of Applied Sciences Stralsund, 18435 Stralsund, Germany

doi
10.22111/ijfs.2015.2088
چکیده

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.

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