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IV Iberoamerican Conference on Topology and its Applications (IV CITA)
April 18-21, 2001
University of Coimbra
Coimbra, Portugal

Organizers
Maria Manuel Clementino, Jorge Picado, Lurdes Sousa, Maria João Ferreira, Gonçalo Gutierres, Dirk Hofmann

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Saturated classes of mappings
by
S. D. Iliadis
University of Patras, Department of Mathematics, 265 00 Patras, Greece

Using the notion of a saturated class of spaces defined in [1] we introduce the notion of saturated class of mappings. We prove that: (a) in any saturated class of mappings there exist universal elements, and (b) the intersection of saturated classes of mappings is also saturated. We give some theorems, which show the connection between saturated classes of spaces and mappings.


[1] S. D. Iliadis, A construction of containing mappings, Topology and its Applications, Vol. 107 (2000), N0. 2, pp. 97-116.

Date received: February 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafw-42.