What Really is a Continuous Function?

Harper, J F

dc.contributor.author	Harper, J F
dc.date.accessioned	2008-08-29T00:26:35Z
dc.date.accessioned	2022-07-07T02:18:17Z
dc.date.available	2008-08-29T00:26:35Z
dc.date.available	2022-07-07T02:18:17Z
dc.date.copyright	2007
dc.date.issued	2007
dc.identifier.uri	https://ir.wgtn.ac.nz/handle/123456789/19218
dc.description.abstract	There are surprisingly many essentially different definitions of continuity even of a real function of one real variable. This paper shows that the definitions in various textbooks published from 1893 to 1992 have some very different consequences, and that one error that was noticed and corrected in 1904 reappeared in a 1907 book.	en_NZ
dc.format	pdf	en_NZ
dc.language.iso	en_NZ
dc.publisher	Te Herenga Waka—Victoria University of Wellington	en_NZ
dc.subject	Continuous function	en_NZ
dc.subject	Continuity	en_NZ
dc.subject	Functions	en_NZ
dc.title	What Really is a Continuous Function?	en_NZ
dc.type	Text	en_NZ
vuwschema.contributor.unit	School of Mathematics, Statistics and Computer Science	en_NZ
vuwschema.subject.marsden	230102 Number Theory and Field Theory	en_NZ
vuwschema.type.vuw	Discussion Paper	en_NZ
vuwschema.subject.anzsrcforV2	490401 Algebra and number theory	en_NZ