KFU. Card publication. The Kierstead's Conjecture and limitwise monotonic functions

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FEDERAL UNIVERSITY

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THE KIERSTEAD'S CONJECTURE AND LIMITWISE MONOTONIC FUNCTIONS

Form of presentation

Articles in international journals and collections

Year of publication

2018

Язык

английский

Authors, employees of KFU

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

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