Generalized Extension of Morphisms in Geometry of Configuration and Infinitesimal Polylogarithmic Groups Complexes

In this research work, a generalized extension of morphismshas been proposed to define generalized geometry between the two generalizedchain complexes: Grassmannian configuration, and a variant ofCathelineau infinitesimal. Initially, the new morphisms are introduced toextend the geometry of Grassmannian and variant of Cathelineau infinitesimalchain complexes for weight n = 6. Finally, generalizations of thisextension are proposed through generalized morphisms, and the commutativityof associated diagrams is also shown