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

[1] Adding multiplication to an o-minimal expansion of the additive group of real numbers
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[2] Undefinability results in o-minimal expansions of the real numbers
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[3] THE STRUCTURE ON THE REAL FIELD GENERATED BY THE STANDARD PART MAP ON AN O-MINIMAL EXPANSION OF A REAL CLOSED FIELD
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[5] Computing o-minimal topological invariants using differential topology
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[6] Transfer methods for o-minimal topology
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[7] An additive measure in o-minimal expansion of fields
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[9] O-minimal structures and real analytic geometry
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[10] EXPANSIONS OF O-MINIMAL STRUCTURES ON THE REAL FIELD BY TRAJECTORIES OF LINEAR VECTOR FIELDS
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