Original Research
Elementary topology and universal computation
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
Submitted: 20 September 2008 | Published: 20 September 2008
About the author(s)
Petrus Potgieter, Departement Besluitkunde, Universiteit van Suid-Afrika (Pretoria), South AfricaFull Text:
PDF (222KB)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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