Notes on point-free real functions and sublocales (Preprint)

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Type: Preprint
National /International: International
Title: Notes on point-free real functions and sublocales
Publication Date: 2014-07-25
Authors: - Javier Gutiérrez García
- Jorge Picado
- Ales Pultr
Abstract: Using the technique of sublocales we present a survey of some known facts (with a few new ones added) on point-free real functions. The subjects treated are, e.g., images and preimages, semicontinuity, algebraic structure (point-free real arithmetics), zero and cozero parts, z-embeddings, z-open and z-closed maps, disconnectivity, small sublocales and supports.
Institution: DMUC 14-27
Online version: http://www.mat.uc.pt...prints/eng_2014.html
Download: Not available
 
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