The Kierstead's Conjecture and limitwise monotonic functions
In this paper, we prove Kierstead's conjecture for linear orders whose order types are ∑q∈QF(q), where F is an extended 0′-limitwise monotonic function, i.e. F can take value ζ. Linear orders in our consideration can have finite and infinite blocks simultaneously, and in this sense our result s...
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sg-ntu-dr.10356-1420702020-06-15T07:48:41Z The Kierstead's Conjecture and limitwise monotonic functions Wu, Guohua Zubkov, Maxim School of Physical and Mathematical Sciences Science::Mathematics Linear Order Limitwise Monotonic Function In this paper, we prove Kierstead's conjecture for linear orders whose order types are ∑q∈QF(q), where F is an extended 0′-limitwise monotonic function, i.e. F can take value ζ. 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. ζ⋅η. It covers some instances not being considered in both previous works mentioned above, such as m⋅η+ζ⋅η+n⋅η, for example, where m,n>0. MOE (Min. of Education, S’pore) 2020-06-15T07:48:41Z 2020-06-15T07:48:41Z 2018 Journal Article Wu, G., & Zubkov, M. (2018). The Kierstead's Conjecture and limitwise monotonic functions. Annals of Pure and Applied Logic, 169(6), 467-486. doi:10.1016/j.apal.2018.01.003 0168-0072 https://hdl.handle.net/10356/142070 10.1016/j.apal.2018.01.003 2-s2.0-85041502152 6 169 467 486 en Annals of Pure and Applied Logic © 2018 Elsevier B.V. All rights reserved. |
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Science::Mathematics Linear Order Limitwise Monotonic Function |
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Science::Mathematics Linear Order Limitwise Monotonic Function Wu, Guohua Zubkov, Maxim The Kierstead's Conjecture and limitwise monotonic functions |
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In this paper, we prove Kierstead's conjecture for linear orders whose order types are ∑q∈QF(q), where F is an extended 0′-limitwise monotonic function, i.e. F can take value ζ. 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. ζ⋅η. It covers some instances not being considered in both previous works mentioned above, such as m⋅η+ζ⋅η+n⋅η, for example, where m,n>0. |
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School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Wu, Guohua Zubkov, Maxim |
| format |
Article |
| author |
Wu, Guohua Zubkov, Maxim |
| author_sort |
Wu, Guohua |
| title |
The Kierstead's Conjecture and limitwise monotonic functions |
| title_short |
The Kierstead's Conjecture and limitwise monotonic functions |
| title_full |
The Kierstead's Conjecture and limitwise monotonic functions |
| title_fullStr |
The Kierstead's Conjecture and limitwise monotonic functions |
| title_full_unstemmed |
The Kierstead's Conjecture and limitwise monotonic functions |
| title_sort |
kierstead's conjecture and limitwise monotonic functions |
| publishDate |
2020 |
| url |
https://hdl.handle.net/10356/142070 |
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1681059099188396032 |