GLOBAL ACTIONS, GROUPOID ATLASES AND APPLICATIONS

被引：0

作者：

Bak, A. ^{[1
]}

Brown, R. ^{[2
]}

Minian, G. ^{[3
]}

Porter, T. ^{[2
]}

机构：

[1] Univ Bielefeld, Dept Math, D-33501 Bielefeld, Germany

[2] Univ Wales, Dept Math, Bangor LL57 1UT, Gwynedd, Wales

[3] Univ Buenos Aires, Dept Matemat, Fac Ciencias Exactas & Nat, RA-1053 Buenos Aires, DF, Argentina

来源：

JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2006年 / 1卷 / 01期

关键词：

Homology; Homotopy; K-theory; Group Action; Groupoid;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Global actions were introduced by A. Bak to give a combinatorial approach to higher K-theory, in which control is kept of the elementary operations through paths and paths of paths. This paper is intended as an introduction to this circle of ideas, including the homotopy theory of global actions, which one obtains naturally from the notion of path of elementary operations. Emphasis is placed on developing examples taken from combinatorial group theory, as well as K-theory. The concept of groupoid atlas plays a clarifying role.

引用

页码：101 / 167

页数：67

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