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On Type 1 Semi-Algebras of Continuous Functions

โœ Scribed by Page, A.


Book ID
120098206
Publisher
Oxford University Press
Year
1963
Tongue
English
Weight
233 KB
Volume
s1-38
Category
Article
ISSN
0024-6107

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โœ Bonsall, F. F. ๐Ÿ“‚ Article ๐Ÿ“… 1960 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 428 KB
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โœ Klaus Weihrauch; Xizhong Zheng ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 208 KB

In this paper we extend computability theory to the spaces of continuous, upper semi-continuous and lower semi-continuous real functions. We apply the framework of TTE, Type-2 Theory of E ectivity, where not only computable elements but also computable functions on the spaces can be considered. Firs