Inverse systems and inverse limits in the category of plain textures

详细信息    查看全文

• 作者：Filiz Yıldız¹ ; ^{yfiliz@hacettepe.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 46A13 ; 18A30 ; 46M40 ; 54B30 ; secondary ; 03E04 ; 06D10 ; 03E20
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：201
• 期：Complete
• 页码：217-234
• 全文大小：490 K

文摘

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.