A group-theoretical finiteness theorem

被引：3
|
作者：
Poenaru, Valentin [2 ]
Tanasi, Corrado [1 ]
机构：
[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy
[2] Univ Paris Sud Math, F-91405 Orsay, France
来源：
GEOMETRIAE DEDICATA | 2008年 / 137卷 / 01期
关键词：
PL-structure; Developing maps; Partial section; Cayley; 2-complex;
D O I：
10.1007/s10711-008-9279-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We start with the universal covering space (M) over tilde (n) of a closed n-manifold and with a tree of fundamental domains which zips it T -> (M) over tilde (n). Our result is that, between T and (M) over tilde (n), is an intermediary object, T ->(p) G ->(F) (M) over tilde (n), obtained by zipping, such that each fiber of p is FINITE and T ->(p) G ->(F) (M) over tilde (n) admits a SECTION.
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页码：1 / 25
页数：25
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