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The problem of deciding if four colors are sufficient to color any map on a plane or sphere.

The map which assigns every member of a set A to the same element id_A. It is identical to the identity function.

A special nonsingular map from one manifold to another such that at every point in the domain of the map, the derivative is an injective linear transformation. This is ...

Given a subset B of a set A, the injection f:B->A defined by f(b)=b for all b in B is called the inclusion map.

Let K be a finite complex, let h:|K|->|K| be a continuous map. If Lambda(h)!=0, then h has a fixed point.

Given a map f from a space X to a space Y and another map g from a space Z to a space Y, a lift is a map h from X to Z such that gh=f. In other words, a lift of f is a map h ...

A stable fixed point of a map which, in a dissipative dynamical system, is an attractor.

A map projection in which the parallels are represented by concentric circular arcs and the meridians by concurrent curves.

An automorphism which interchanges the two vertices of a regular map at each edge without interchanging the vertices.

The space E of a fiber bundle given by the map f:E->B, where B is the base space of the fiber bundle.