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Internal fundamental sequences and approximative retracts

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Laguna, V. F. and Rodríguez Sanjurjo, José Manuel (1984) Internal fundamental sequences and approximative retracts. Topology and its Applications, 17 (2). pp. 189-197. ISSN 0166-8641

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Official URL: http://www.sciencedirect.com/science/article/pii/0166864184900415


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Abstract

We introduce the notion of internal fundamental sequence and prove that any shape morphism from an arbitrary compactum X to an internally movable compactum Y is induced by an internal fundamental sequence. We use this special kind of fundamental sequences to give characterizations and some properties of AANRc-sets and AANR,-sets. The paper ends with a section devoted to internal FANR’s.


Item Type:Article
Uncontrolled Keywords:Shape theory
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:17179
Deposited On:22 Nov 2012 12:38
Last Modified:12 Dec 2018 15:14

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