dc.contributor.authors |
Savic, Ana; Bilgin, Merve; Ersoy, Soley; Paunovic, Marija |
|
dc.date.accessioned |
2023-01-24T12:08:41Z |
|
dc.date.available |
2023-01-24T12:08:41Z |
|
dc.date.issued |
2022 |
|
dc.identifier.uri |
http://dx.doi.org/10.3390/math10224224 |
|
dc.identifier.uri |
https://hdl.handle.net/20.500.12619/99553 |
|
dc.description |
Bu yayın 06.11.1981 tarihli ve 17506 sayılı Resmî Gazete’de yayımlanan 2547 sayılı Yükseköğretim Kanunu’nun 4/c, 12/c, 42/c ve 42/d maddelerine dayalı 12/12/2019 tarih, 543 sayılı ve 05 numaralı Üniversite Senato Kararı ile hazırlanan Sakarya Üniversitesi Açık Bilim ve Açık Akademik Arşiv Yönergesi gereğince telif haklarına uygun olan nüsha açık akademik arşiv sistemine açık erişim olarak yüklenmiştir. |
|
dc.description.abstract |
In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the semi-Euclidean space that allow us to define three different hypersurfaces on semi-Euclidean space. Hence, we construct some topological structures on these hypersurfaces called norm e, s, and t topologies. On the other hand, we introduce hyperbolic e, s, and t topologies on the bihyperbolic numbers set. Moreover, by using the idempotent and spectral representations of the bihyperbolic numbers, we introduce new topologies on the bihyperbolic numbers set. |
|
dc.language |
English |
|
dc.language.iso |
eng |
|
dc.publisher |
MDPI |
|
dc.relation.isversionof |
10.3390/math10224224 |
|
dc.subject |
Mathematics |
|
dc.subject |
bihyperbolic numbers |
|
dc.subject |
topology |
|
dc.subject |
semi-Euclidean space |
|
dc.title |
Topologies of Bihyperbolic Numbers |
|
dc.type |
Article |
|
dc.contributor.authorID |
Ersoy, Soley/0000-0002-7183-7081 |
|
dc.identifier.volume |
10 |
|
dc.relation.journal |
MATHEMATICS |
|
dc.identifier.issue |
22 |
|
dc.identifier.doi |
10.3390/math10224224 |
|
dc.identifier.eissn |
2227-7390 |
|
dc.contributor.author |
Savic, Ana |
|
dc.contributor.author |
Bilgin, Merve |
|
dc.contributor.author |
Ersoy, Soley |
|
dc.contributor.author |
Paunovic, Marija |
|
dc.relation.publicationcategory |
Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı |
|
dc.rights.openaccessdesignations |
gold |
|