locally arcwise connected
1Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …
2Continuum (topology) — In the mathematical field of point set topology, a continuum (pl continua) is a nonempty compact connected metric space, or less frequently, a compact connected Hausdorff topological space. Continuum theory is the branch of topology devoted to… …
3Peano space — In point set topology, a branch of mathematics, a Peano space, named after Giuseppe Peano, is a compact, connected, locally connected metric space.Properties*Every Peano space is arcwise connected, more generally every open connected subset of a… …
4Hilbert's fifth problem — Hilbert s fifth problem, from the Hilbert problems list promulgated in 1900 by David Hilbert, concerns the characterization of Lie groups. The theory of Lie groups describes continuous symmetry in mathematics; its importance there and in… …
5Dendroid (topology) — In topology, a hereditarily unicoherent, arcwise connected continuum is called a dendroid. A continuum X is called hereditarily unicoherent if every subcontinuum of X is unicoherent. A locally connected dendroid is called a dendrite. This… …
