Singular (Lipschitz) homology and homology of integral currents
Singular (Lipschitz) homology and homology of integral currents
复制标题
奇异（Lipschitz）同源性和积分电流同源性
DOI：
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发表时间：
2009
期刊：
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通讯作者：
D. Schappi
中科院分区：
文献类型：
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作者：
Christian Riedweg;D. Schappi
本文比较了度量空间X的紧支集积分流链复形的同调群H_n ^{IC}（X）与奇异Lipschitz同调群H^L_n（X）和一般奇异同调群H ^L_n（X）的同调群。如果$X$满足一定的锥不等式，所有这些同调理论重合。另一方面，对于夏威夷耳环，积分流的同调不同于奇异Lipschitz同调，也不同于经典的奇异同调$H_n（X）$。
We compare the homology groups $H_n ^{IC}(X)$ of the chain complex of integral currents with compact support of a metric space $X$ with the singular Lipschitz homology $H^L_n (X)$ and with ordinary singular homology. If $X$ satisfies certain cone inequalities all these homology theories coincide. On the other hand, for the Hawaiian Earring the homology of integral currents differs from the singular Lipschitz homology and it differs also from the classical singular homology $H_n(X)$.