| PHANTOM MAPS AND SPACES OFTHE SAME n-TYPE FOR ALL n |
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| 作者姓名： | I. DO |
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| 作者单位： | I. DO(Topology and Geometry Research Center，Kyungpook National University，Taegu 702-701，Korea.)(Project supported by the TGRC-Kosef (TGRC Post Doc. Program) in 1997.) |
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| 摘 要： | 1.IntroductionLetXbeaconnectedCWcomplexandX.denoteitsn-skeleton.Amapf:X-YiscalledaphantommapifitsrestrictiontoeachskeletonXuisnullhomotopic.ItiseasytoknowthateveryphantommapfromafiniteCWcomplexortoaspacewithonlyfinitenootrivialhomotopygroupsisnecessarilytrivialuptohomotopy.HenceessentialphantommapcanoccuronlywhenthedomainXisaninfinitedimensionalspaceorthetargetisaspacewithinfinitenontrivialhomotopygroups.Suchmapsappeartobenullhomotopicfromanumberofdifferentpoilltsofview;e.g.,theyinducethe…
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| 关 键 词： | 仿真映射 n型空间 SNT 外延理论 |
| 收稿时间： | 1998/2/27 0:00:00 |
| 修稿时间： | 1998/12/8 0:00:00 |
PHANTOM MAPS AND SPACES OF THE SAME n-TYPE FOR ALL n |
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| I. DO.PHANTOM MAPS AND SPACES OFTHE SAME n-TYPE FOR ALL n[J].Chinese Annals of Mathematics,Series B,1999,20(3):331-336. |
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| Authors: | I DO |
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| Institution: | TopologyattdGeometryResearchCenter,KyungpovkNationalUniversity |
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| Abstract: | After reviewing the theory of phantom maps and SNT, the author gives several general results which relate the theory of phantom maps and SNT and which extend that of Harper and Roitberg. |
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| Keywords: | Phantom map Spaces of the same n-type |
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