Zobrazeno 1 - 10 of 14 pro vyhledávání: '"Athipat Thamrongthanyalak"'
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Akademický článek
Characterizations of modules definable in o-minimal structures
Autor: Jaruwat Rodbanjong, Athipat Thamrongthanyalak
Publikováno v: AIMS Mathematics, Vol 8, Iss 6, Pp 13088-13095 (2023)
Let $ \mathfrak M $ be an o-minimal expansion of a densely linearly ordered set and $ (S, +, \cdot, 0_S, 1_S) $ be a ring definable in $ \mathfrak M $. In this article, we develop two techniques for the study of characterizations of $ S $-modules def
Externí odkaz: https://doaj.org/article/0dca5c3770344f47bb49a5d5c5906eb9
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3
Whitney’s extension problem in o-minimal structures
Autor: Athipat Thamrongthanyalak, Matthias Aschenbrenner
Publikováno v: Revista Matemática Iberoamericana. 35:1027-1052
In 1934, H. Whitney asked how one can determine whether a real-valued function on a closed subset of Rn is the restriction of a Cm-function on Rn. A complete answer to this question was found much later by C. Fefferman in the early 2000s. Here, we wo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::695f349779115b69fb96ccd0dc2eefff
https://doi.org/10.4171/rmi/1077
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4
Definable Continuous Solutions of Linear Equations
Autor: Saronsad Sokantika, Athipat Thamrongthanyalak
Publikováno v: Notre Dame Journal of Formal Logic. 62
In this paper, we study a generalization of a question, raised by C. Fefferman and J. Kollar, on the existence of solutions of linear functional equations. Suppose that R is a definably complete expansion of a real closed field (R;+,⋅). Let f,g1,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::48849e8bb9899ae0fa4f023eefb5ec10
https://doi.org/10.1215/00294527-2021-0019
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5
D-minimal expansions of the real field have the zero set property
Autor: Athipat Thamrongthanyalak, Chris Miller
Publikováno v: Proceedings of the American Mathematical Society. 146:5169-5179
If E ⊆ R n E\subseteq \mathbb R^n is closed and the structure ( R , + , ⋅ , E ) (\mathbb R,+,\cdot ,E) is d-minimal (that is, in every structure elementarily equivalent to ( R , + , ⋅ , E ) (\mathbb R,+,\cdot ,E) , every unary definable set is
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::57fb6b5cf7d4d68987e18378d4469441
https://doi.org/10.1090/proc/14144
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7
Linear extension operators for continuous functions on definable sets in the p ‐adic context
Autor: Athipat Thamrongthanyalak
Publikováno v: Mathematical Logic Quarterly. 63:104-108
Let E be a subset of Qpn. A linear extension operator is a linear map that sends a function on E to its extension on some superset of E. In this paper, we show that if E is a semi-algebraic or subanalytic subset of Qpn, then there is a linear extensi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7e12c1c7edd90a58c00856aa94d5e21c
https://doi.org/10.1002/malq.201500079
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10
Michael’s Selection Theorem in a semilinear context
Autor: Athipat Thamrongthanyalak, Matthias Aschenbrenner
Publikováno v: Advances in Geometry. 15:293-313
We establish versions of Michael’s Selection Theorem and Tietze’s Extension Theorem in the category of semilinear maps.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cea17c13e2870a3ba9c1dee5144eadd3
https://doi.org/10.1515/advgeom-2015-0018
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