On universal composition of maps.

Zvonko Cerin

Publicacions Matemàtiques (1991)

  • Volume: 35, Issue: 2, page 363-374
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Cerin, Zvonko. "On universal composition of maps.." Publicacions Matemàtiques 35.2 (1991): 363-374. <http://eudml.org/doc/41697>.

@article{Cerin1991,
abstract = {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.},
author = {Cerin, Zvonko},
journal = {Publicacions Matemàtiques},
keywords = {-universality; -e-universality; compact Hausdorff spaces; composition of maps; proximate universality},
language = {eng},
number = {2},
pages = {363-374},
title = {On universal composition of maps.},
url = {http://eudml.org/doc/41697},
volume = {35},
year = {1991},
}

TY - JOUR
AU - Cerin, Zvonko
TI - On universal composition of maps.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 363
EP - 374
AB - 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.
LA - eng
KW - -universality; -e-universality; compact Hausdorff spaces; composition of maps; proximate universality
UR - http://eudml.org/doc/41697
ER -

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