Dendrite (mathematics)
Encyclopedia
In topology
, a locally connected dendroid
is called a dendrite. Equivalently a dendrite is a locally connected continuum
that contains no simple closed curves.
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, a locally connected dendroid
Dendroid (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....
is called a dendrite. Equivalently a dendrite is a locally connected continuum
Continuum (topology)
In the mathematical field of point-set topology, a continuum is a nonempty compact connected metric space, or less frequently, a compact connected Hausdorff topological space...
that contains no simple closed curves.