Categorical Description of Simple-Folding a Map

To compensate for the lack of abstraction in field origami, this paper, we propose a categorical description that can be introduced to map folding. Specifically, use particular expression abstract folding process with logical matrices. When operations are restricted two certain kinds, simple folds and unfolds, define categories partly folded states as poset categories. The property posets induces many general concepts, such (co)product, opposite category, direct system, so on. We then introduce how these concepts specified proposed These conceptions specifications brought us hope solve study contemporary mathematical methods, (co)homology. Furthermore, our potentially applied more generalized version folding, flat-folding.