KnowraAlexander horned sphereLinked fromLinked fromThe 6 pages that link to Alexander horned sphere, each with the reason it gives.All 6Broader topic 2Related 1Compared with 3Jordan curve theoremRelated: It shows how higher-dimensional analogues can fail to behave as simply as planar curves.Algebraic topologyBroader topic: It shows that abstractly simple spaces can behave unexpectedly when embedded in other spaces.Schoenflies problemBroader topic: Its inside is not a ball, giving a canonical negative example for unrestricted embeddings.3-sphereCompared with: It illustrates how an embedded sphere’s topology can differ from its surrounding space.Arthur Moritz SchoenfliesCompared with: It demonstrates why Schoenflies-style conclusions for tame surfaces do not extend to every embedding.Dehn's lemmaCompared with: It shows that embedding alone can still permit pathological behavior absent from the lemma's disk conclusion.