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Universal and proximately universal limits


Cerin, Z. and Rodríguez Sanjurjo, José Manuel (1996) Universal and proximately universal limits. Journal of the Australian Mathematical Society , 61 (Part I). pp. 96-105. ISSN 1446-8107

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We present sufficient conditions on an approximate mapping F : H --> Y of approximate inverse systems in order that the limit f : X --> Y of F is a universal map in the sense of Holsztynski. A similar theorem holds for a more restrictive concept of a proximately universal map introduced recently by the second author. We get as corollaries some sufficient conditions on an approximate inverse system implying that the its limit has the (proximate) fixed point property. In particular, every chainable compact Hausdorff space has the proximate fixed point property.

Item Type:Article
Uncontrolled Keywords:inverse system, approximate inverse system, inverse limit, map of inverse systems, map of approximate inverse systems, approximate polyhedron, universal map, proximately universal map, fixed point property, proximate fixed point property
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:16963

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Deposited On:31 Oct 2012 11:07
Last Modified:07 Feb 2014 09:39

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