{"schema":"vela.problem-packet.v0.1","problem":910,"statement":"Does every connected set in $\\mathbb{R}^n$ contain a connected subset which is not a point and not homeomorphic to the original set?If $n\\geq 2$ does every connected set in $\\mathbb{R}^n$ contain more than $2^{\\aleph_0}$ many connected subsets?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}