On universal composition of maps

Autores: Zvonko Cerin
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 35, Nº 2, 1991, págs. 363-374
Idioma: inglés
Títulos paralelos:
- Sobre la composición universal de aplicaciones
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Resumen
- In this paper we shall introduce notions of F-universality and F-e-universality for maps between compact Hausdorff spaces and explore the behaviour of these properties under the operation of composition of maps. We consider both the quest for conditions on maps f and g which would imply that their composition g o f is either F-universal or F-e-universal and the quest for consequences on f and g when the composition g o f is either F-universal or F-e-universal. In our approach F is an arbitrary class of maps. For a special choice of F, the notion of F-universality reduces to Holsztysnki's notion of universality while F-e-universality reduces to Sanjurjo's notion of proximate universality.