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Alternate proofs for the n-dimensional resolution theorems
被引:0
|
作者
:
Rubin, Leonard R.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Oklahoma, Dept Math, Norman, OK 73019 USA
Univ Oklahoma, Dept Math, Norman, OK 73019 USA
Rubin, Leonard R.
[
1
]
Tonic, Vera
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Rijeka, Dept Math, Rijeka 51000, Croatia
Univ Oklahoma, Dept Math, Norman, OK 73019 USA
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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