Journals / Turkish Journal of Mathematics / 1999 / Cilt: 23 - Sayı: 2

Left Adjoint of Pullback Cat1 -Groups

Pages
243–249
DOI
—

Abstract

In [1] we define the pullback Cat1-groups and showed that the category of pullback Cat1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat1-group has a left adjoint which is the induced Cat1-group. We also give the left adjoint construction.

Özet

In [1] we define the pullback Cat1-groups and showed that the category of pullback Cat1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat1-group has a left adjoint which is the induced Cat1-group. We also give the left adjoint construction.

Keywords: Crossed modules, cat1-groups, pullback, Cocomplete category, Adjoint.