Critical juncture theoryCritical juncture theory focuses on critical junctures, i.e., large, rapid, discontinuous changes, and the long-term causal effect or historical legacy of these changes. Critical junctures are turning points that alter the course of evolution of some entity (e.g., a species, a society). Critical juncture theory seeks to explain both (1) the historical origin and maintenance of social order, and (2) the occurrence of social change through sudden, big leaps. Critical juncture theory is not a general theory of social order and change.
Projective spaceIn mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet at infinity. A projective space may thus be viewed as the extension of a Euclidean space, or, more generally, an affine space with points at infinity, in such a way that there is one point at infinity of each direction of parallel lines. This definition of a projective space has the disadvantage of not being isotropic, having two different sorts of points, which must be considered separately in proofs.