Definition
In mathematics, a singleton is a set with exactly one element. For example, the set is a singleton whose single element is .
Related concepts
1-tuple1 (number)Abraham FraenkelAlfred North WhiteheadAlmostAlternative set theoryAmorphous setAxiomAxiom of adjunctionAxiom of choiceAxiom of constructibilityAxiom of countable choiceAxiom of dependent choiceAxiom of determinacyAxiom of extensionalityAxiom of global choiceAxiom of infinityAxiom of limitation of sizeAxiom of pairingAxiom of power setAxiom of projective determinacyAxiom of regularityAxiom of unionAxiom schemaAxiom schema of replacementAxiom schema of specificationAxiomatic set theoryBell numberBertrand RussellBijectionBurali-Forti paradoxCantor's diagonal argumentCantor's theoremCardinal numberCardinalityCartesian productCategory (category theory)Category of setsClass (set theory)Complement (set theory)Computable setConstructible universeContinuous functionContinuum hypothesisCountable setDe Morgan's lawsDedekind-infinite setDisjoint unionElement (mathematics)Empty setErnst ZermeloFamily of setsFilter on a setFinite setForcing (mathematics)Free ultrafilter (set theory)Function (mathematics)Fuzzy setGeneral set theoryGeorg CantorGroup (mathematics)Group homomorphismHereditarily finite setIdentity elementIf and only ifIndicator functionInfinite setInitial objectIntersection (set theory)Isolated pointJohn von NeumannKripke–Platek set theoryKurt GödelLarge cardinalList of set identities and relationsMartin's axiomMathematicsMorse–Kelley set theoryNaive set theoryNet (mathematics)New FoundationsOn-Line Encyclopedia of Integer SequencesOrdered pairOrdinal numberParadoxes of set theoryPartitions of a setPaul BernaysPaul CohenPower setPrincipia MathematicaRichard DedekindRussell's paradoxSet-builder notationSet-theoretic definition of natural numbersSet (mathematics)Set theorySubsetSuslin's problemSymmetric differenceTarski–Grothendieck set theoryTerminal objectThomas JechThoralf SkolemTopological spaceTransfinite inductionTransitive setTupleUltra prefilterUltrafilter (set theory)Ultrafilter lemmaUltrafilter on a setUltranet (math)Uncountable setUnion (set theory)Uniqueness quantificationUniversal setUrelementVenn diagramVon Neumann–Bernays–Gödel set theoryWillard Van Orman QuineZermelo set theoryZermelo–Fraenkel set theoryZero object
42 concepts already in your glossary