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a a b b M1 a b a b M1intD2 Figure2ThetorusM1S1S1andthepuncturedtorusasspaceoforbitsfortheactionsoftheunitspheresinRCorHontheunitspheresinRn1Cn1Hn1Amap fRPnYisthesamethingasamapfSnYso

a a b b M1 a b a b M1int(D2) Figure2.ThetorusM1=S1S1andthepuncturedtorusasspaceoforbitsfortheactionsoftheunitspheresinR orHontheunitspheresinRn+1 Cn+1 Hn+1.Amap f:RPn!Yisthesamethingasamapf:Sn!Yso

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