1. In mathematics and order theory, a non-empty subset of a partially ordered set that is closed upward and contains the infimum of any two of its elements
In lattice theory, a filtered set is used to define convergence and approximation concepts.
Na teoria de reticulados, um conjunto filtrado é usado para definir conceitos de convergência e aproximação.
2. In topology and analysis, a collection of sets satisfying certain intersection properties, used as a generalization of sequences
The filtered set provides a framework for studying limits in more general topological spaces.
O conjunto filtrado fornece um marco teórico para estudar limites em espaços topológicos mais gerais.