Form of presentation | Articles in international journals and collections |
Year of publication | 2018 |
Язык | английский |
|
Zubkov Maksim Vitalevich, author
|
Bibliographic description in the original language |
Wu G, Zubkov M., The Kierstead's Conjecture and limitwise monotonic functions//Annals of Pure and Applied Logic. - 2018. - Vol.169, Is. 6. - p.467-486 . |
Annotation |
Annals of Pure and Applied Logic |
Keywords |
linear order, limitwise monotonic function, automorphism |
The name of the journal |
Annals of Pure and Applied Logic
|
URL |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85041502152&doi=10.1016%2fj.apal.2018.01.003&partnerID=40&md5=591cee0e811b1e158850be230b28a791 |
Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=176184&p_lang=2 |
Full metadata record ![](https://shelly.kpfu.ru/pdf/picture/arrow_black_right.gif) |
Field DC |
Value |
Language |
dc.contributor.author |
Zubkov Maksim Vitalevich |
ru_RU |
dc.date.accessioned |
2018-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2018-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2018 |
ru_RU |
dc.identifier.citation |
Wu G, Zubkov M., The Kierstead's Conjecture and limitwise monotonic functions//Annals of Pure and Applied Logic. - 2018. - Vol.169, Is. 6. - p.467-486 . |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/eng/?p_id=176184&p_lang=2 |
ru_RU |
dc.description.abstract |
Annals of Pure and Applied Logic |
ru_RU |
dc.description.abstract |
Annals of Pure and Applied Logic |
ru_RU |
dc.description.abstract |
In this paper, we prove Kierstead's conjecture for linear orders
whose order types are $\sum\limits_{q\in\mathds{Q}}F(q)$, where
$F$ is an extended $0'$-limitwise monotonic function, i.e. $F$ can
take value $\zeta$. Linear orders in our consideration can have
finite and infinite blocks simultaneously, and in this sense our
result subsumes a recent result of C. Harris, K. Lee and S.\,B.
Cooper, where only those linear orders with finite blocks are
considered. Our result also covers one case of R. Downey and M.
Moses' work, i.e. $\zeta\cdot\eta$. It covers some instances not
being considered in both previous works mentioned above, such as
$m\cdot\eta+\zeta\cdot\eta+n\cdot\eta$, for example, where $m,
n>0$. |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
linear order |
ru_RU |
dc.subject |
limitwise monotonic function |
ru_RU |
dc.subject |
automorphism |
ru_RU |
dc.title |
The Kierstead's Conjecture and limitwise monotonic functions |
ru_RU |
dc.type |
Articles in international journals and collections |
ru_RU |
|