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https://hdl.handle.net/10316/13649| Title: | The semicontinuous frame quasi-uniformity, revisited | Authors: | Ferreira, Maria João Picado, Jorge |
Keywords: | Frame; Quasi-uniform frame; Quasi-uniform biframe; Quasi-metric quasiuniformity; Totally bounded quasi-uniformity; Semicontinuous real function; Biframe of reals; Countably compact frame | Issue Date: | 2009 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 09-30 (2009) | Serial title, monograph or event: | Pré-Publicações DMUC | Issue: | 09-30 | Place of publication or event: | Coimbra | Abstract: | In this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J. Guti errez Garc a, T. Kubiak and J. Picado [Localic real functions: a general setting, Journal of Pure and Applied Algebra 213 (2009) 1064-1074]. The purpose is to show how the basic facts about the semicontinuous quasi-uniformity can be easily presented and proved with that tool at hand. | URI: | https://hdl.handle.net/10316/13649 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| The semicontinuous frame quasi-uniformity.pdf | 208.84 kB | Adobe PDF | View/Open |
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