Albrecht, Rudolf F. Topological concepts for hierarchies of variables, types and controls. (English) Zbl 0987.65046 Alefeld, Götz (ed.) et al., Symbolic algebraic methods and verification methods. Wien: Springer. 3-10 (2001). Algorithmic structures and, related, algorithms are defined by decomposing computable functions into sequences of basic functions. Then, as a second step, the application of topological concepts enables the treatment and description of approximative computations and their error measures.For the entire collection see [Zbl 0963.00018]. Reviewer: H.Ratschek (Düsseldorf) Cited in 1 Document MSC: 65J05 General theory of numerical analysis in abstract spaces 68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) 65G30 Interval and finite arithmetic 68W25 Approximation algorithms Keywords:algorithmic structures; algorithms; computable functions; basic functions; approximative computations; error measures PDFBibTeX XMLCite \textit{R. F. Albrecht}, in: Symbolic algebraic methods and verification methods. Wien: Springer. 3--10 (2001; Zbl 0987.65046)