Fixed-Point Index Natural & Formal Sciences Dictionary Definition An integer-valued topological invariant assigned to an isolated fixed point of a continuous map on a manifold (or in Euclidean space) that algebraically counts the fixed point according to the local degree of the map minus the identity.
Fixed-Point Index Natural & Formal Sciences Dictionary Definition An integer-valued topological invariant assigned to an isolated fixed point of a continuous map on a manifold (or in Euclidean space) that algebraically counts the fixed point according to the local degree of the map minus the identity.