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A connection between two or more vertices of a hypergraph. A hyperedge connecting just two vertices is simply a usual graph edge.

Two lines in hyperbolic geometry which diverge from each other in both directions.

A space having dimension n>3.

A type of point at infinity in which parallel lines in the hyperbolic plane intersect at infinity in one direction, while diverging from one another in the other.

A "line" having imaginary coefficients in its equations which can arise in algebraic geometry.

Definitions about a set which depend on the entire set.

A word or string which is not admissible.

Two objects which touch each other are said to be incident.

If f:(X,A)->(Y,B) is homotopic to g:(X,A)->(Y,B), then f_*:H_n(X,A)->H_n(Y,B) and g_*:H_n(X,A)->H_n(Y,B) are said to be the induced maps.

While an equality A=B states that two mathematical expressions are equal, an inequation A!=B states that two expressions are not equal.