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.
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页码：835 / 854
页数：20
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