×

Complete regularity in lattice-valued induced spaces. (English) Zbl 0810.18005

The author considers complete regularity of fuzzy topological spaces which are lattice valued. It is shown that an induced space is completely regular if its underlying space is completely regular. If the value lattice is [0,1] or if it has at least one compact element, then the converse is also true. The considerable number of misprints and the often fractured English make reading this paper a chore.
Reviewer: C.S.Hoo (Edmonton)

MSC:

18B99 Special categories
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
06D10 Complete distributivity
PDFBibTeX XMLCite