Alternate proofs for the n-dimensional resolution theorems

被引：0

作者：

Rubin, Leonard R. ^{[1
]}

Tonic, Vera ^{[2
]}

机构：

[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

[2] Univ Rijeka, Dept Math, Rijeka 51000, Croatia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2022年 / 305卷

关键词：

Absolute co-extensor; Absolute neighborhood retract; Cell-like; Cohomological dimension; Compactum; CW-complex; Dimension; Eilenberg-MacLane CW-complex; G-acyclic; Inverse sequence;

D O I：

10.1016/j.topol.2021.107883

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wepresentnew,unifiedproofsforthecell-like-,Z/p-,andQ-resolutiontheorems.Ourargumentsemployextensionsthataremuchsimplerthanthoseusedbyourpredecessors.Thetechniquesallowustosolveproblemsinvolvingcohomologygroupsbyconvertingthemintoproblemsabouthomologygroups.Weprovideacoordinatedgeneraltopologicalmethodforconstructingthemapsneededtowitnesstheresolutiontheoremssimultaneously. (c) 2021ElsevierB.V.Allrightsreserved.

引用

页数：22

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