Finiteness of semialgebraic types of Nash mappings defined on a Nash surface

Autor: Satoshi Koike, Masahiro Shiota

Publikováno v: Mathematische Zeitschrift. 292:819-837

In this paper we consider a problem on whether the number of semialgebraic types appearing in a family of Nash mappings defined on a two-dimensional Nash surface is finite. We show that if the Nash surface has isolated singularities, then this number

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4b7417bbe4fd46e34caf5db050716a85
https://doi.org/10.1007/s00209-018-2104-3

A Few Thoughts on the Momofuku Ando Instant Ramen Museum

Autor: Masahiro, SHIOTA

Publikováno v: 大手前大学論集 = Otemae Journal. 16:55-74

公益財団法人安藤スポーツ・食文化振興財団は、二つの意義あるミュージアムを持っている。それは、日清食品の創業者、安藤百福の意思を具現化したものである。一つは、池田市にあ�

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::46af635e996067340cc512cb1add5d63
http://id.nii.ac.jp/1160/00000993/

Real Milnor Fibres and Puiseux Series

Autor: Masahiro Shiota, Goulwen Fichou

Publikováno v: Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2017, 50 (5), pp.1205-1240
Annales Scientifiques de l'École Normale Supérieure, 2017, 50 (5), pp.1205-1240
Annales Scientifiques de l'École Normale Supérieure, Elsevier Masson, 2017, 50 (5), pp.1205-1240

International audience; Given a real polynomial function and a point in its zero locus, we defined a set consisting of algebraic real Puiseux series naturally attached to these data. We prove that this set determines the topology and the geometry of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9fe10a5d2737c8b585f95cd2171d410
https://hal.archives-ouvertes.fr/hal-00978433

TRIANGULATION OF THE MAP OF A G-MANIFOLD TO ITS ORBIT SPACE

Autor: Masahiro Shiota, Mitsutaka Murayama

Publikováno v: Nagoya Math. J. 212 (2013), 159-195

Let G be a Lie group, and let M be a smooth proper G-manifold. Let M/G denote the orbit space, and let π : M → M/G be the natural map. It is known that M/G is homeomorphic to a polyhedron. In the present paper we show that there exist a piecewise

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3815fc54c23e17efe3513e5298f453e6
http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100722025

Directional properties of sets definable in o-minimal structures

Autor: Ta L ^ E Loi, Masahiro Shiota, Satoshi Koike, Laurentiu Paunescu

Publikováno v: Annales de l’institut Fourier. 63:2017-2047

In a former paper the first and third authors introduced the notion of direction set for a subset of R^n, and showed that the dimension of the common direction set of two subanalytic subsets, called directional dimension, is preserved by a bi-Lipschi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39bc7c81d2181f0b3aa330a2e3b38889
https://doi.org/10.5802/aif.2821