Original Research

Elementary topology and universal computation

Petrus Potgieter
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 27, No 4 | a97 | DOI: https://doi.org/10.4102/satnt.v27i4.97 | © 2008 Petrus Potgieter | This work is licensed under CC Attribution 4.0
Submitted: 20 September 2008 | Published: 20 September 2008

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Abstract

This paper attempts to define a general framework for computability on an arbitrary topological space X . The elements of X are taken as primitives in this approach—also for the coding of functions — and, except when X = N, the natural numbers are not used directly.

Keywords

Universele berekening; topologie; dimensieteorie, speldprikeienskap; berekening oor die re¨ ele getalle.

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