Aspects of Constructive Dynamical Systems
| dc.contributor.author | Hendtlass, Matthew Ralph John | |
| dc.date.accessioned | 2009-08-23T21:53:00Z | |
| dc.date.available | 2009-08-23T21:53:00Z | |
| dc.date.issued | 2009 | en |
| dc.description.abstract | We give a Bishop-style constructive analysis of the statement that a continuous homomorphism from the real line onto a compact metric abelian group is periodic; constructive versions of this statement and its contrapositive are given. It is shown that the existence of a minimal period in general is not derivable, but the minimal period is derivable under a simple geometric condition when the group is contained in two dimensional Euclidean space. A number of results about one-one and injective mappings are proved en route to our main theorems. A few Brouwerian examples show that some of our results are the best possible in a constructive framework. | en |
| dc.identifier.uri | http://hdl.handle.net/10092/2724 | |
| dc.identifier.uri | http://dx.doi.org/10.26021/6816 | |
| dc.language.iso | en | |
| dc.publisher | University of Canterbury. Mathematics and Statistics | en |
| dc.relation.isreferencedby | NZCU | en |
| dc.rights | Copyright Matthew Ralph John Hendtlass | en |
| dc.rights.uri | https://canterbury.libguides.com/rights/theses | en |
| dc.subject | Constructive mathematics | en |
| dc.subject | compact group | en |
| dc.subject | periodic | en |
| dc.title | Aspects of Constructive Dynamical Systems | en |
| dc.type | Theses / Dissertations | |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | University of Canterbury | en |
| thesis.degree.level | Masters | en |
| thesis.degree.name | Master of Science | en |
| uc.bibnumber | 1150096 | en |
| uc.college | Faculty of Science | en |
Files
Original bundle
1 - 1 of 1