The \(\top\)-filter monad and its applications
type: Item
instance of: scholarly article
title: The \(\top\)-filter monad and its applications
zbMATH Open document ID: 1465.54003
author: Yue Li Yue
author: Jin-Ming Fang
published in: Fuzzy Sets and Systems
publication date: 2021-07-16T00:00:00Z
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 18C15
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 7372303
zbMATH Keywords: \(\top\)-filter monad
zbMATH Keywords: lax algebra
zbMATH Keywords: \(\top\)-convergence space
zbMATH Keywords: completion
zbMATH Keywords: probabilistic uniform space
MaRDI profile type: Publication
full work available at URL: j.fss.2019.02.018
OpenAlex ID: W2920763892
cites work: Relational algebras
cites work: Q5312888
cites work: Fuzzy topological spaces
cites work: Topological features of Lax algebras
cites work: Metric, topology and multicategory -- a common approach
cites work: One setting for all: Metric, topology, uniformity, approach structure
cites work: On the completion monad via the Yoneda embedding in quasi-uniform spaces
cites work: \(\top\)-diagonal conditions and continuous extension theorem
cites work: L-fuzzy sets
cites work: Q4280788
cites work: Q4440516
cites work: Continuous Lattices and Domains
cites work: On fuzzy uniformities induced by a fuzzy metric space
cites work: Kleisli compositions for topological spaces
cites work: Monoidal topology. A categorical approach to order, metric, and topology
cites work: Probabilistic topologies induced by \(L\)-fuzzy uniformities
cites work: Q4836218
cites work: Characterization of \(L\)-topologies by \(L\)-valued neighborhoods
cites work: Categorical foundations of topology with applications to quantaloid enriched topological spaces
cites work: Uniformities on fuzzy topological spaces
cites work: Fuzzy topological spaces with conical neighborhood systems
cites work: Lattice-valued convergence associated with CNS spaces
cites work: Fuzzy uniform spaces
cites work: Q5579534
cites work: Preordered sets valued in a GL-monoid
cites work: Lattice-valued spaces: \(\top\)-completions
cites work: Q3689850
cites work: \(L\)-proximities and totally bounded pointwise \(L\)-uniformities
cites work: THE CATEGORY OF T-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS
cites work: Completeness in probabilistic quasi-uniform spaces
cites work: An enriched category approach to many valued topology
cites work: Uniform environments as a general framework for metrics and uniformities
DOI: 10.1016/J.FSS.2019.02.018
description: scientific article; zbMATH DE number 7372303