On Regular Homotopy in Codimension 1
On Regular Homotopy in Codimension 1
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余维 1 中的正则同伦
DOI：
10.2307/1970430
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发表时间：
1966
期刊：
影响因子：
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通讯作者：
V. Poénaru
中科院分区：
文献类型：
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作者：
V. Poénaru
DFx：T(M)x T(N)f(x，是内射的。映射M N的空间Hom(M，N)将被赋予C‘拓扑p>；3.特别地，如果imm(M，N)是浸入空间ME N，它将被赋予诱导拓扑，则任何连续弧A：i-n imm(M，N)称为正则同伦.我们将考虑具有边界Dm的紧致流形M。让我们考虑DM在M中的管状邻域，由嵌入q1表示：dm x[0，o)-)M(其中q)i是x0是标准嵌入aMcz M)。让我们考虑一组有限的正数：
dfx: T(M) x T(N)f (x, is injective. The space Hom (M, N) of maps M N will be endowed with the C'topology p > 3. In particular, if Imm (M, N) is the space of immersions ME N, which will be endowed with the induced topology, any continuous arc A: I-n Imm (M, N) will be called a regular homotopy. We shall consider compact manifolds M, with boundary DM. Let us consider some tubular neighborhood of DM in M, represented by an embedding q1: DM x [0, o) -) M (where q) I aM x 0 is the standard embedding aMcz M). Let us consider a finite set of positive numbers: