Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44424
Title: Presenting the frame of the unit circle
Authors: Gutiérrez García, Javier 
Mozo Carollo, Imanol 
Picado, Jorge 
Issue Date: 2016
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Journal of Pure and Applied Algebra
Volume: 220
Issue: 3
Abstract: We present the frame L(T) of the unit circle by generators and relations in two alternative ways. The first is the localic counterpart of the Alexandroff compactification of the real line while the other can be understood as a localic analogue of the quotient space R/Z. With an eye towards a prospective point-free description of Pontryagin duality, we then show how the usual group operations of the frame of reals can be lifted to the new frame L(T), endowing it with a canonical localic group structure.
URI: http://hdl.handle.net/10316/44424
DOI: 10.1016/j.jpaa.2015.08.004
10.1016/j.jpaa.2015.08.004
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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