KnowraFredholm operatorLinked fromLinked fromThe 10 pages that link to Fredholm operator, each with the reason it gives.All 10Broader topic 3Related 5Narrower topic 2Compact operatorRelated: Compact operators connect Fredholm properties to solvability through the Fredholm alternative.Fredholm alternativeNarrower topic: The alternative is a central solvability result for operators in this broader class.Open mapping theoremRelated: Closed-range and solvability arguments for these operators use open mapping principles.Elliptic operatorRelated: On compact settings, elliptic operators commonly have this finite-dimensional solvability structure.Atiyah–Singer index theoremNarrower topic: Elliptic operators on compact manifolds yield Fredholm maps, making their indices well-defined.Operator theoryBroader topic: Fredholm theory tracks solvability and index under perturbations.Baum–Connes conjectureRelated: Fredholm cycles represent K-homology classes whose indices feed assembly.Dimension theorem for vector spacesRelated: Its index extends rank–nullity ideas to certain infinite-dimensional operators.Fredholm theoryBroader topic: This is the operator class that Fredholm theory studies.Fredholm's theoremBroader topic: The theorem's index conclusion applies to this class of operators.