On continuous extensions |
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Authors: | Lawrence Narici Edward Beckenstein |
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Affiliation: | (1) St. John's Univesity, 11439 Jamaica, NY, USA;(2) St. John's University, 10301 Staten Island, NY, USA |
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Abstract: | We consider various possiblities concerning the continuous extension of continuous functions taking values in an ultrametric space. In Section 1 we consider Tietze-type exetension theorems concerning continuous extendibility of continuous functions from compact and closed subsets to the whole space. In Sections 2 and 3 we consider extending separated continous functions in such a way that, certain continuous extensions remain separated. Functgions taking values in a complete ultravalued field are dealt with in Section 2, and the real and complex cases in Section 3. |
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Keywords: | 46S10 54C45 54D35 |
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