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On extensions of partial functions |
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| Authors: | AB Kharazishvili AP Kirtadze |
| Institution: | aA. Razmadze Mathematical Institute, M. Alexidze Street, 1, Tbilisi 0193, Georgia bI. Vekua Institute of Applied Mathematics of Tbilisi State University, University Street, 2, Tbilisi 0143, Georgia |
| Abstract: | The problem of extending partial functions is considered from the general viewpoint. Some aspects of this problem are illustrated by examples, which are concerned with typical real-valued partial functions (e.g. semicontinuous, monotone, additive, measurable, possessing the Baire property). |
| Keywords: | Partial function Extension of a partial function Semicontinuous function Monotone function Measurable function Sierpiński–Zygmund function Absolutely nonmeasurable function Extension of a measure |
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