Convergence in graded ditopological texture spaces

Abstract

Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak (see bibliography). In this paper, the authors generalize the structure of difilters in ditopological texture spaces defined in (see bibliography) to the graded ditopological texture spaces and compare the properties of difilters and graded difilters.

Keywords

• Texture
• Graded ditopology
• graded difilter
• fuzzy topology