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ISSN 18soas 18

数理解析研究所講究録 1540

特異点論とオーミニマルカテゴリー

京都大学数理解析研究所

2007 年 4 月

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RIMS I¡6kyOroku Z540

Singularities and o-minimal category

ApriL 2007

Research institute for Mathematical SZ7iences

K)7oto Uj,ztversity, I¡)2oto, ,lapan

This is a report of research done at Research Institute fbr Mathematical

Sciences, Kyoto Umversity. The papers contamed herem are in final forrn

and will not be submitted for publication elsewhere

(3)

特異点論とオーミニマルカテゴリ1・…一・・ Smgulanties and o-minimal category

RIMS研究集会報告集

20061127{}˜1130

研究代表者 川上 智博(Tomohiro Kawakami) 目 次

1 SURFACE KNOTS AND THEIR GENERIC PLANAR PROJECTIONS一一 e e一一一一一一一e l 九大・数理学(Kyushu U) 武田 康史(Yasush1 Takeda)

2 Secondary Thom POIynomial 定式化の試みについて一一一一一一一一一一一一・・一一ep一一一一一一一一一一一一一一一一一13 近畿大・理工(Klnkl U) 佐久間 一浩(Kazuhiro Sakuma) 3 有限 1b一位相空間の位相生成行列とオイラー数 29

京産大・理(Kyoto Sangyo U) 牛瀧 文宏(Fumihiro Ushitaki) 4 D-closedness of paratangent space

近畿大・総合理工学(Klnk1 U)

5 COBORDISMS OF FOLD MAPS

九大・数理学(Kyushu u) 6 Morse functions with sphere fibers

九大・数理学(Kyushu u)

伊藤 洋忠(Hrrotada・lto)

35

Boldizsar Kalmat

43

佐伯 修(Osamu Saeki)

56

7 トーラス多様体上の変換群について 67

大阪市大・数学研(OSaka City U)黒木 慎太郎(Shintar6 Kuroki) 8 A differentiable structure on a mappmg space quotient and ms apphcation

to the moduli problem 北大・理学(Hokkaldo U) 9 0-mimmal構造での仮想元消去

東海大・理(Tokai U)

石川 剛郎(Go-o lshikawa)

79

米田 郁生(lkuo Yoneda) 10 オーミニマルカテゴリーと特異点解消定理 一 一 一

兵庫教育大(Hyogo U of Teacher Eduoation)小池敏司(Saωshl Kolke)

91

11弱順序極小実閉体上のぴセル分解 岡山大・自然科学(Okayama u) 和歌山大・教育(Wakayama U) 12 BorsUk-Ulam型の定理とその周辺

阪大・理学(Osaka U)

9S)

一一一一一一107 田中 広志(Hlrosh[Tana]km)

川上 智博(Tomokmo Kawakm1)

1 3 On blow-analytic equivalence

原 靖浩(Yasuhiro Hara)

111

埼玉大・理工学(Sattama・U) 福井 敏純(Toslllzum1 Fukui) 123

。1

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14 球面の埋め込みのスピニングについて … 。139 信州大・理(Shmshu・U) 高瀬 将道(Masamlchi Takase)

1 5 TOWARDS A CLASSIFICATION OF BLOW NASH TYPES…一n ee e 一一一…一一一一一・一・一一145

Univ de Rennes l Goulwen Fichou

16同変コホモロジーの小Cartan複体とモデル圏 … 一 ・。・一一一一…一一一152 阪大・理学(Osaka U) 山崎 啓太(Ke血Yamasakl)

1 7 Bendmgs and tuckmgs m planar portralts of manlfolds一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一163 秋田大・工学資源(Aklta U) 小林 真人(Malllto Kobayash1) 18等変写像に関するBORSUK・ULAM型定理とその逆一一一一一一一n一一一一一一・一一一一e・一一一一一一172

京都府立医大(Kyoto Prefectural U of Medlcme)賄生光alrummsu Nagasaki)

・皿隔

参照

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