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Universal and proximately universal limits

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Cerin, Z. y 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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URL Oficial: http://journals.cambridge.org/abstract_S1446788700000094


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Resumen

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.


Tipo de documento:Artículo
Palabras clave: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
Materias:Ciencias > Matemáticas > Geometría
Ciencias > Matemáticas > Topología
Código ID:16963
Depositado:31 Oct 2012 11:07
Última Modificación:07 Feb 2014 09:39

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