Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Presenting the frame of the unit circle
Publication Date:	2015-04-14
Authors:	- Javier Gutiérrez García - Imanol Mozo Carollo - Jorge Picado
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 on 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.
Institution:	DMUC 15-15
Online version:	http://www.mat.uc.pt...prints/eng_2015.html
Download:	Not available