The continuum of the surreal numbers revisited. The surreal numbers defined through transfinite fundamental Cauchy sequences. The ordinal real numbers.
| dc.contributor.author | Konstantinos E. Kyritsis | en |
| dc.date.accessioned | 2022-07-25T06:59:51Z | |
| dc.date.available | 2022-07-25T06:59:51Z | |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/31868 | |
| dc.identifier.uri | http://dx.doi.org/10.26268/heal.uoi.11683 | |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.subject | Linearly ordered commutative fields | en |
| dc.subject | Transfinite real numbers | en |
| dc.subject | Surreal numbers | en |
| dc.subject | Formal power series fields | |
| dc.title | The continuum of the surreal numbers revisited. The surreal numbers defined through transfinite fundamental Cauchy sequences. The ordinal real numbers. | en |
| heal.abstract | In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,that the three different techniques and hierarchies of the continuum of the transfinite real numbers of Glayzal A. (1937) defined through transfinite power series , of the surreal numbers of J.H. Conway (1976) defined by Dedekind cuts ,and of the ordinal real numbers of K. E. Kyritsis (1992) defined by fundamental Cauchy transfinite sequences, give by inductive limit or union the same class and continuum of infinite numbers. This is quite remarkable and is the analogue in the transfinite numbers, of that the real numbers can be constructed either as decimal power series, or by Dedekind cuts, or by Cauchy fundamental sequences. | |
| heal.access | free | el |
| heal.bibliographicCitation | 1st international conference on quantitative, social, biomedical and economic issues 29-30 JUNE 2017 Proceedings pp 233-292 , https://books.google.gr/books?id=BSUsDwAAQBAJ&pg | en |
| heal.classification | Mathematics | |
| heal.conferenceItemType | full paper | el |
| heal.conferenceName | 1st international conference on quantitative, social, biomedical and economic issues 29-30 JUNE 2017 http://icqsbei2017.weebly.com/ | en |
| heal.contributorName | Kyritsis, Konstantinos | en |
| heal.dateAvailable | 2022-07-25T07:00:52Z | |
| heal.fullTextAvailability | true | |
| heal.language | en | el |
| heal.publicationDate | 2017-06-30 | |
| heal.publisher | Dr Christos Frangos,B.Sc.,M.Sc.,Ph.D.(London School of Economics) | en |
| heal.recordProvider | University of Iannina, School of Economic and Administrative Sciences, Dept of Accouning-Finance | en |
| heal.secondaryTitle | The ordinal real numbers | en |
| heal.tableOfContents | The ordinal natural numbers 1 The ordinal natural numbers 2 The ordinal real numbers 1, The ordinal real numbers 2, The ordinal real numbers 3 | en |
| heal.type | conferenceItem | el |
| heal.type.el | Δημοσίευση σε συνέδριο | el |
| heal.type.en | Conference presentation | en |
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