Descent and effective descent morphisms in \(\omega\)-\({\mathcal C}po\)
type: Item
instance of: scholarly article
title: Descent and effective descent morphisms in \(\omega\)-\({\mathcal C}po\)
zbMATH Open document ID: 1234.18002
author: Francesca Cagliari
author: Sandra Mantovani
published in: Topology and its Applications
publication date: 2011-11-08T00:00:00Z
review text: The authors study descent theory in a context lying in-between order and topology, namely in the category \(\omega\)-\({\mathcal C}po\) of \(\omega\)-chain complete posets and maps preserving suprema of \(\omega\)-chains. First, they describe the effective descent morphisms in \(\omega\)-\({\mathcal C}po\) by proving that surjective regular epimorphisms in \(\omega\)-\({\mathcal C}po\) are exactly topological quotients. Then, using this fact, they show that effective descent morphisms in \(\omega\)-\({\mathcal C}po\) are given by all those effective descent morphisms in the category \({\mathcal C}po\) of posets with the property of lifting \(\omega\)-chains and their upper bounds.
reviewed by: Ali Madanshekaf
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 18A20
Mathematics Subject Classification ID: 06B35
zbMATH DE Number: 5969487
zbMATH Keywords: descent data
zbMATH Keywords: (effective) descent map
zbMATH Keywords: \(\omega \)-\({\mathcal C}po\)
MaRDI profile type: Publication
full work available at URL: j.topol.2011.03.013
OpenAlex ID: W1979759938
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DOI: 10.1016/J.TOPOL.2011.03.013
description: scientific article; zbMATH DE number 5969487