Zobrazeno 1 - 10
of 1 781
pro vyhledávání: '"o-minimal structure"'
Autor:
Fujita, Masato
We demonstrate that an expansion of a semi-bounded o-minimal expansion of the ordered group of reals by an increasing geometric progression is locally o-minimal.
Comment: There is a gap in Lemma 2.3
Comment: There is a gap in Lemma 2.3
Externí odkaz:
http://arxiv.org/abs/2302.06026
Autor:
Fujita, Masato, Kawakami, Tomohiro
We consider a definably complete locally o-minimal expansion of an ordered field. We treat two topics in this paper. The first topic is a definable $\mathcal C^r$ approximation of a definable $\mathcal C^{r-1}$ map between definable $\mathcal C^r$ su
Externí odkaz:
http://arxiv.org/abs/2301.04264
Autor:
Fujita, Masato
We consider an almost o-minimal expansion of an ordered group $\mathcal M=(M,<,+,0,\ldots)$ and its tame extension $\mathcal N=(N,<,+,0,\ldots)$. We demonstrate that the subset $\{x \in M^n\;|\; \mathcal N \models \Phi(x,a)\}$ of $M^n$ defined by a f
Externí odkaz:
http://arxiv.org/abs/2207.03021
Autor:
Fujita, Masato
We define a discrete closure operation for definably complete locally o-minimal structures $\mathcal M$. The pair of the underlying set of $\mathcal M$ and the discrete closure operation forms a pregeometry. We define the rank of a definable set over
Externí odkaz:
http://arxiv.org/abs/2204.01895
Autor:
Fujita, Masato, Kawakami, Tomohiro
We give a necessary and sufficient condition for a one-dimensional regular and Hausdorff topological space definable in a definably complete uniformly locally o-minimal structure of the second kind having definable bounded multiplication being affine
Externí odkaz:
http://arxiv.org/abs/2110.15616
Autor:
FUJITA, MASATO
Publikováno v:
The Journal of Symbolic Logic, 2020 Dec 01. 85(4), 1654-1663.
Externí odkaz:
https://www.jstor.org/stable/27030871
Autor:
Fujita, Masato
Publikováno v:
Archiv der Mathematik, vol.109 (2017), pp.529-538
We consider a global semianalytic set defined by real analytic functions definable in an o-minimal structure. When the o-minimal structure is polynomially bounded, we show that the closure of this set is a global semianalytic set defined by definable
Externí odkaz:
http://arxiv.org/abs/2002.03083
Autor:
Fujita, Masato
Consider an o-minimal structure on the real field. Let $M$ be a definable $C^r$ manifold, where $r$ is a nonnegative integer. We first demonstrate an equivalence of the category of definable $C^r$ vector bundles over $M$ with the category of finitely
Externí odkaz:
http://arxiv.org/abs/2002.03081
Autor:
Fujita, Masato
We investigate continuous functions definable in a definably complete uniformly locally o-minimal expansion of the second kind of a densely linearly ordered abelian group (DCULOAS structure). We prove a variant of the Arzela-Ascoli theorem for unifor
Externí odkaz:
http://arxiv.org/abs/2010.02420
Autor:
Fujita, Masato
The Whitney group $K_1(A)$ is isomorphic to $A^\times \times \operatorname{SK}_1(A)$ for some subgroup $\operatorname{SK}_1(A)$, where $A$ is a commutative ring and $A^\times$ denotes the set of units in $A$. Consider an o-minimal expansion of a real
Externí odkaz:
http://arxiv.org/abs/2007.14594