Cantor tree
Encyclopedia
In mathematical set theory, the Cantor tree is either the full binary tree
of height ω + 1, or a topological space
related to this by joining its points with intervals, that was introduced by Robert Lee Moore
in the late 1920s as an example of a non-metrizable Moore space
.
Tree (set theory)
In set theory, a tree is a partially ordered set In set theory, a tree is a partially ordered set (poset) In set theory, a tree is a partially ordered set (poset) (T, In set theory, a tree is a partially ordered set (poset) (T, ...
of height ω + 1, or a topological space
Topological space
Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion...
related to this by joining its points with intervals, that was introduced by Robert Lee Moore
Robert Lee Moore
Robert Lee Moore was an American mathematician, known for his work in general topology and the Moore method of teaching university mathematics.-Life:...
in the late 1920s as an example of a non-metrizable Moore space
Moore space (topology)
In mathematics, more specifically point-set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold:...
.