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https://hdl.handle.net/10316/11276| Title: | Pointfree forms of Dowker and Michael insertion theorems | Authors: | Gutiérrez García, Javier Kubiak, Tomasz Picado, Jorge |
Keywords: | Frame; Sublocale; Insertion theorem; Extension theorem; Kat¡etov relation; Continuous real function on a frame; Lower semicontinuous; Upper semicontinuous; Normal frame; Perfectly normal frame; Countably paracompact frame | Issue Date: | 2007 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 07-41 (2007) | Abstract: | In this paper we prove two strict insertion theorems for frame homomorphisms. When applied to the frame of all open subsets of a topological space they are equivalent to the insertion statements of the classical theorems of Dowker and Michael regarding, respectively, normal countably paracompact spaces and perfectly normal spaces. In addition, a study of perfect normality for frames is made. | URI: | https://hdl.handle.net/10316/11276 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Pointfree forms of Dowker and Michael insertion theorems.pdf | 188.12 kB | Adobe PDF | View/Open |
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