Original Articles

DISCONNECTEDNESS CLASSES

Published in: Quaestiones Mathematicae
Volume 24 , issue 1 , 2001 , pages: 75–92

DOI: 10.1080/16073606.2001.9639775

Author(s): G. Castellini Department of Mathematics, USA

Keywords: 18A32 , 06A15 , 18E40 , 18A32 , 06A15 , 18E40

Abstract

Let X be an (E, M)-category for sinks. A notion of disconnectedness with respect to a closure operator C on X and to a class of X-monomorphisms N is introduced. This gives rise to the notion of N-disconnectedness class, a characterization of which is presented in a category with a terminal object. Some examples are provided.

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