Of, relating to, or designating a monoid (monoid, n. 1); spec. designating a transformation of a space into a monoid. Now rare.

Of a topological space: capable of being assigned a metric which makes it a metric space with the same topology as the original space.

Mathematics. Of a metric space: such that every Cauchy sequence in the space is convergent within it.

Of a topological space: capable of undergoing triangulation (sense 2b).

Designating a transformation of a topological space that is performed in order to remove or circumvent singularities in the space (see quot. 1943).