2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223501An algebraic notion of representational consistency is defined. A theorem relating it to free actions is proved. A metrizability problem of the quotient (a shape space) is discussed. This leads to a new algebraic variety with a metrizability result. A concrete example is given from stereo vision.fixed matrices lost in latex and numbered equationsAlgebraic GeometryComputer Vision and Pattern RecognitionNeurons and Cognition14Q15 (Primary) 53C27, 53C80 (Secondary)text