Insertion of a measurable function

Title: Insertion of a measurable function
Creator: Kotzé, W
Creator: Kubiak, T
Date Issued: 1994
Date: 1994
Type: Article
Identifier: vital:6785
Identifier: http://hdl.handle.net/10962/d1006928
Description: Some theorems on the existence of continuous real-valued functions on a topological space (for example, insertion, extension, and separation theorems) can be proved without involving uncountable unions of open sets. In particular, it is shown that well-known characterizations of normality (for example the Katětov-Tong insertion theorem, the Tietze extension theorem, Urysohn's lemma) are characterizations of normal σ-rings. Likewise, similar theorems about extremally disconnected spaces are true for σ-rings of a certain type. This σ-ring approach leads to general results on the existence of functions of class α.
Format: 10 pages
Format: pdf
Publisher: Journal of the Australian Mathematical Society
Language: English
Relation: Kotzé, W. and Kubiak, T. (1994) Insertion of a measurable function. Journal of the Australian Mathematical Society, Series A, 57 (3). pp. 295-304. Available at: http://dx.doi.org/10.1017/S1446788700037708

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Kotzé, Wessel Johannes (Wesley) (Professor Emeritus )

RU Department of Mathematics (Pure and Applied)

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