Document Type

Article

Publication Date

1-1-2007

Publication Title

Illinois Journal of Mathematics

DOI

10.1215/ijm/1258138429

ISSN

0019-2082

Abstract

The closure under extensions of a class of objects in an abelian category is often an important property of that class. Recently the closure of such classes under transfinite extensions (both direct and inverse) has begun to play an important role in several areas of mathematics, for example, in Quillen's theory of model categories and in the theory of cotorsion pairs. In this paper we prove that several important classes are closed under transfinite extensions.

Comments

© 2007 University of Illinois. This is an open access article retrieved from the Illinois Journal of Mathematics. Articles older than 5 years are open access.

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