6533b85bfe1ef96bd12bb34d

RESEARCH PRODUCT

On inductive dimensions for fuzzy topological spaces

D. AdnadjevicAlexander P. Sostak

subject

Topological algebraLogicTopological tensor productTopological spaceTopologyTopological vector spaceHomeomorphismAlgebraArtificial IntelligenceMathematics::Category TheoryDimension theoryCategory of topological spacesMathematicsZero-dimensional space

description

An approach to the dimension theory for fuzzy topological spaces is being developed. The appropriate context for this theory is not the category CFT of Chang fuzzy topological spaces or some of its modifications, but the category Hut introduced in the paper (this category is a slight extension of the category H of Hutton fuzzy topological spaces Hutton (1980). The frames of this category allow us to make exposition simple and uniform, and on the other hand to make it applicable in quite a general setting.

https://doi.org/10.1016/0165-0114(94)00373-f