Equivariant differential topology in an o-minimal expansion of the field of real numbers

被引：2

作者：

Kawakami, T ^{[1
]}

机构：

[1] Wakayama Univ, Fac Educ, Dept Math, Wakayama 6408510, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2002年 / 123卷 / 02期

关键词：

O-minimal; definable C(r)G manifolds; definable C(r)G vector bundles; compactifiable; piecewise definable C(r)G triviality;

D O I：

10.1016/S0166-8641(01)00200-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish basic properties of differential topology for definable C(r)G manifolds in an o-minimal expansion M of R = (R, +, ., <), where 0 less than or equal to, r less than or equal to, omega and G is a definable C-r group. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：323 / 349

页数：27

共 31 条

[21] A NOTE ON Nα-SATURATED o-MINIMAL EXPANSIONS OF REAL CLOSED FIELDS
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[28] A Note on ϰα-Saturated o-Minimal Expansions of Real Closed FieldsDedicated to Yu. L. Ershov on the occasion of his 75th birthday
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[29] Sorting Real Numbers in O(nlogn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O\big (n\sqrt{\log n}\big )$$\end{document} Time and Linear Space
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[30] Correction to: Sorting Real Numbers in O(nlogn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O(n\sqrt{\log n})$$\end{document} Time and Linear Space
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