Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43925
Title: | On the representability of actions for topological algebras | Authors: | Borceux, Francis Clementino, Maria Manuel Montoli, Andrea |
Issue Date: | 2014 | Publisher: | DMUC - Textos de Matemática | Project: | info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT | Serial title, monograph or event: | Categorical Methods in Algebra and Topology: Special Volume in Honour of Manuela Sobral | Volume: | 46 | Abstract: | The actions of a group B on a group X correspond bijectively to the group homomorphisms B ⟶ Aut(X), proving that the functor “actions on X” is representable by the group of automorphisms of X. Making the detour through pseudotopological spaces, we generalize this result to the topological case, for quasi-locally compact groups and some other algebraic structures. We investigate next the case of arbitrary topological algebras for a semi-abelian theory and prove that the representability of topological actions reduces to the preservation of coproducts by the functor Act(−,X). | URI: | https://hdl.handle.net/10316/43925 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Livros e Capítulos de Livros |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
volume46_Borceux_Clementino_Montoli_(41_66).pdf | 1.3 MB | Adobe PDF | View/Open |
Page view(s)
274
checked on Oct 8, 2024
Download(s)
128
checked on Oct 8, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.