{"title":"基本拓扑和通用计算","authors":"P. Potgieter","doi":"10.4102/SATNT.V27I4.97","DOIUrl":null,"url":null,"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 N, the natural numbers are not used directly.","PeriodicalId":30428,"journal":{"name":"South African Journal of Science and Technology","volume":"27 1","pages":"287-293"},"PeriodicalIF":0.0000,"publicationDate":"2008-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elementary topology and universal computation\",\"authors\":\"P. Potgieter\",\"doi\":\"10.4102/SATNT.V27I4.97\",\"DOIUrl\":null,\"url\":null,\"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 N, the natural numbers are not used directly.\",\"PeriodicalId\":30428,\"journal\":{\"name\":\"South African Journal of Science and Technology\",\"volume\":\"27 1\",\"pages\":\"287-293\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"South African Journal of Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4102/SATNT.V27I4.97\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"South African Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4102/SATNT.V27I4.97","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.