Characterization of the Strong Closure of C∞(B4; S2) in W1,p (B4; S2) (165 ≤ p < 4)

Characterization of the Strong Closure of C∞(B4; S2) in W1,p (B4; S2) (165 ≤ p < 4)
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W1,p (B4; S2) 中 C∞(B4; S2) 强闭包的表征 (165 ≤ p < 4)

DOI:
10.1006/jmaa.1995.1081
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发表时间:
1995
期刊:
影响因子:
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通讯作者:
T. Isobe
T. Isobe
中科院分区:
--
文献类型:
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作者:
T. Isobe

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定理[N[2,3,8]。C(M‘,N)在W’-P(M;N)中是强稠密的当且仅当ZF(I)p Z dim M或(Ii)是p&lt;dim M且1R[,,](N)=0.这里,1R|,(N)表示第p个同伦群0fN,[p]是小于或等于p的最大整数。
THEOREM [N [2, 3, AND 8]. C (M', N) is strongly dense in W ‘-P (M; N) ifand only zf (i) p Z dim M or (ii) IS p< dim M and 1r [,,](N)= 0. Here 1r|,,](N) stands for a [plth homotopy group 0fN and [p] is the largest integer less than or equal to p.