6533b861fe1ef96bd12c4c97

RESEARCH PRODUCT

From quantale algebroids to topological spaces: Fixed- and variable-basis approaches

Sergey A. Solovyov

subject

Discrete mathematicsPure mathematicsBasis (linear algebra)LogicAlgebraic structureGeneralizationQuantaleTopological spaceAdjunctionArtificial IntelligenceMathematics::Category TheoryCategory of topological spacesQuantaloidMathematics

description

Using the category of quantale algebroids the paper considers a generalization of the classical Papert-Papert-Isbell adjunction between the categories of topological spaces and locales to partial algebraic structures. It also provides a single framework in which to treat the concepts of quasi, standard and stratified fuzzy topology.

yearjournalcountryeditionlanguage
2010-05-01Fuzzy Sets and Systems
https://doi.org/10.1016/j.fss.2010.01.004