HOMOLOGICAL FINITENESS PROPERTIES OF FIBRE PRODUCTS

被引：9

作者：

Kochloukova, Dessislava H. ^{[1
]}

Lima, Francismar Ferreira ^{[2
]}

机构：

[1] Univ Estadual Campinas, UNICAMP, Campinas, SP, Brazil

[2] Tech State Univ Parana UTFPR, Curitiba, PR, Brazil

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2018年 / 69卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

HIGHER GEOMETRIC INVARIANTS; SUBDIRECT PRODUCTS; ELEMENTARY THEORY;

D O I：

10.1093/qmath/hax063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the homological finiteness property FPn of fibre products. A homological version of the n - (n + 1) - (n + 2) Conjecture is suggested and solved in some cases. Though the Homological 1-2-3 Conjecture is still open, we prove a homological version of the Virtual Surjection Conjecture in the case of virtual surjection on pairs.

引用

页码：835 / 854

页数：20

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