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.
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页数：22
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