Mappings and homological properties in the Conley index theory
Mappings and homological properties in the Conley index theory
复制标题
康利指数理论中的映射和同调性质
DOI：
10.1017/s014338570000941x
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发表时间：
1988
影响因子：
0.9
通讯作者：
C. McCord
中科院分区：
文献类型：
--
作者：
C. McCord
摘要考虑了流之间映射的Conley指数的作用。引入了一类在指数级上诱导映射的映射。随着这种映射的加入，同调Conley指数成为同调理论。使用这种结构，一个类似的Lefschetz定理证明了康利指数。给出了一个新的流动不动点判别条件，推广了经典的欧拉特征条件。
Abstract The role in the Conley index of mappings between flows is considered. A class of maps is introduced which induce maps on the index level. With the addition of such maps to the theory, the homology Conley index becomes a homology theory. Using this structure, an analogue of the Lefschetz theorem is proved for the Conley index. This gives a new condition for detecting fixed points of flows, extending the classical Euler characteristic condition.