Relative bounded cohomology

被引：10

作者：

Park, H ^{[1
]}

机构：

[1] Vassar Coll, Dept Math, Poughkeepsie, NY 12604 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2003年 / 131卷 / 03期

关键词：

relative bounded cohomology;

D O I：

10.1016/S0166-8641(02)00339-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide the algebraic foundations to the theory of relative bounded cohomology. In particular, we prove that the relative bounded cohomology of spaces depends only on their fundamental groups. We also prove Gromov's Equivalence theorem and Relative mapping theorem for relative bounded cohomology, stated by Gromov without proofs in [M. Gromov, Publ. Math. IMES 56 (1982) 5-100]. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：203 / 234

页数：32

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