Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/90467
Title: | Perfect locales and localic real functions | Authors: | Gutiérrez García, Javier Kubiak, Tomasz Picado, Jorge |
Keywords: | Locale, Sublocale, Perfectness, G_\delta-perfectness, Perfect normality, Semicontinuous real function, Insertion theorem. | Issue Date: | 2020 | Publisher: | Springer | Project: | UID/MAT/00324/2019 | Serial title, monograph or event: | Algebra Universalis | Volume: | 81 | Issue: | 32 | Abstract: | The purpose of this paper is to identify the role of perfectness in the Michael insertion theorem for perfectly normal locales. We attain it by characterizing perfect locales in terms of strict insertion of two comparable lower semicontinuous and upper semicontinuous localic real functions. That characterization, when combined with the insertion theorem for normal locales, provides an improved formulation of the aforementioned pointfree form of Michael’s insertion theorem. | URI: | https://hdl.handle.net/10316/90467 | DOI: | 10.1007/s00012-020-00661-x | Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Perfectness in locales (revised).pdf | 326.29 kB | Adobe PDF | View/Open |
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