Inverse systems and inverse limits in the category of plain textures

摘要

This paper considers the notions of inverse system and inverse limit in a category consisting of special type textures. By restricting ourselves to especially working within plain textures as a major type of textures, we constructed many elementary properties and the various aspects of inverse systems, and their limits. Additionally, we proved a representation theorem which states infinite product of plain textures can be represented as the inverse limit of an inverse system consisting of finite products of that textures. (C) 2015 Elsevier B.V. All rights reserved.