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On Fundamental Approximative Absolute Neighborhood Retracts

Published online by Cambridge University Press:  20 November 2018

J. M. R. Sanjurjo
J. M. R. Sanjurjo*
Affiliation:
Facultad de Matemáticas, Universidad ComplutenseMadrid (3), Spain
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Abstract

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In this paper we define and study a class of compacta under the name of Fundamental Approximative Absolute Neighborhood Retracts. This class includes Borsuk’s Fundamental Absolute Neighborhood Retracts and Approximative Absolute Neighborhood Retracts in the sense of M. H. Clapp as proper subclasses. We also introduce the notion of q-strong movability and prove that Fundamental Approximative Absolute Neighborhood Retracts coincide with q-strongly movable compacta.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 2 , 01 June 1984 , pp. 134 - 142
Copyright
Copyright © Canadian Mathematical Society 1984

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