Internally -like spaces and internal inverse limits

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• 作者：M.M. Marsh ; J.R. Prajs
• 关键词：primary ; 54F15 ; 54F65 ; secondary ; 54A20 ; 54D80
• 刊名：Topology and its Applications
• 出版年：1 March, 2014
• 年：2014
• 卷：164
• 期：Complete
• 页码：235-241
• 全文大小：243 K

文摘

We establish equivalences between compacta that admit mappings that limit to the identity, and compacta that are inverse limits of the images under these maps. Our results have relationships to Marde拧i膰 and Segal始s equivalence between polyhedra-like compacta and inverse limits of polyhedra, to the Anderson-Choquet Embedding Theorem, to approximative absolute neighborhood retracts, and to continua that are approximated from within as defined by C.A. Eberhart and J.B. Fugate.