6533b7cffe1ef96bd12582ab

RESEARCH PRODUCT

M-bornologies on L-valued Sets

Ingrīda UļjaneAlexander P. Sostak

subject

Mathematics::Functional AnalysisPure mathematics010102 general mathematicsMathematics::General Topology02 engineering and technology01 natural sciencesSet (abstract data type)Mathematics::K-Theory and HomologyBounded function0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processing0101 mathematicsMathematical structureCompletely distributive latticeMathematics

description

We develop an approach to the concept of bornology in the framework of many-valued mathematical structures. It is based on the introduced concept of an M-bornology on an L-valued set (X, E), or an LM-bornology for short; here L is an iccl-monoid, M is a completely distributive lattice and \(E: X\times X \rightarrow L\) is an L-valued equality on the set X. We develop the basics of the theory of LM-bornological spaces and initiate the study of the category of LM-bornological spaces and appropriately defined bounded “mappings” of such spaces.

yearjournalcountryeditionlanguage
2017-08-31
https://doi.org/10.1007/978-3-319-66827-7_41