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Title
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Frames of continuous functions
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Author
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Abstract
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| In the standard approach to pointfree topology via frames/locales, a topological space is represented by its frame of open subsets. The aim of this note is to propose an alternative approach, by representing a topological space by a frame of continuous functions with values in what we call a topological frame. A prime example of such a familiar representation is the frame of lower semicontinuous [0, infinity]-valued functions on a topological space. (C) 2019 Elsevier B.V. All rights reserved. |
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Language
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English
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Source (journal)
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Topology and its applications. - Amsterdam
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Publication
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Amsterdam
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2020
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ISSN
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0166-8641
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DOI
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10.1016/J.TOPOL.2019.106974
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Volume/pages
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273
(2020)
, p. 1-18
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Article Reference
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106974
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ISI
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000521514200017
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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