Connections between Classes of Spaces and of Mappings
R. W. Wardle has used a function with hyperspace values to prove some connections between the property of Kelley and confluent mappings. We generalize this idea to define classes of objects and of morphisms in a category, and to investigate some relations between these classes. The obtained results are applied to continuum theory.
J. J. Charatonik and W. J. Charatonik, "Connections between Classes of Spaces and of Mappings," Topology Proceedings, Auburn University, Jan 2000.
Mathematics and Statistics
Keywords and Phrases
category; confluent; continuum; functor; inverse system; mapping; monotone; morphism
Article - Journal
© 2000 Auburn University, All rights reserved.
01 Jan 2000