Normann, Dag Characterizing the continuous functionals. (English) Zbl 0536.03026 J. Symb. Log. 48, 965-969 (1983). The continuous functionals as defined by Kleene and Kreisel are in some sense a completion of the finitary functionals. In this paper one takes the standard part of the hyperfinitary functionals in some non-standard elementary extension, and shows that these standard parts form the continuous functionals. This justifies the term completion. Cited in 1 ReviewCited in 3 Documents MSC: 03D65 Higher-type and set recursion theory 03H10 Other applications of nonstandard models (economics, physics, etc.) Keywords:nonstandard analysis; continuous functionals; hyperfinitary functionals PDFBibTeX XMLCite \textit{D. Normann}, J. Symb. Log. 48, 965--969 (1983; Zbl 0536.03026) Full Text: DOI References: [1] Constructivity in Mathematics pp 101– (1959) [2] DOI: 10.1007/BF01463138 · Zbl 0325.02027 · doi:10.1007/BF01463138 [3] DOI: 10.1016/0003-4843(79)90006-8 · Zbl 0415.03037 · doi:10.1016/0003-4843(79)90006-8 [4] Constructivity in Mathematics pp 81– (1959) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.