What is Partial equivalence relation?

In numerical analysis, the Lax equivalence theorem is a fundamental theorem in the analysis of finite difference methods for the numerical solution of partial differential equations. It states that for...

The compass equivalence theorem is an important statement in compass and straightedge constructions. The tool advocated by Plato in these constructions is a divider or collapsing compass, that is, a...

In mathematics, a relation on a set is called connected or total if it relates all distinct pairs of elements of the set in one direction or the other while...

In mathematics, the phrase complete partial order is variously used to refer to at least three similar, but distinct, classes of partially ordered sets, characterized by particular completeness properties. Complete...

In algebraic topology, a fiber-homotopy equivalence is a map over a space B that has homotopy inverse over B It is a relative analog of a homotopy equivalence between spaces....

In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set Sis a bijection between two specified subsets of S. That is, it is defined by two...