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Lower and upper regularizations of frame semicontinuous real functions

✍ Scribed by Javier Gutiérrez García; Tomasz Kubiak; Jorge Picado


Publisher
Springer
Year
2009
Tongue
English
Weight
208 KB
Volume
60
Category
Article
ISSN
0002-5240

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Computability on continuous, lower semi-
✍ Klaus Weihrauch; Xizhong Zheng 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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