非循环复合映射的整值不动点指数
Integer-valued fixed point index for compositions of acyclic maps
摘要:
构造了非循环多值映射复合的一个整数值不动点指数。该整数值不动点指数具有可加性、同伦不变性、归一化性、交换性、乘法性等性质。无环性是关于整系数的Cech上同调的。使用链近似技术。
英文摘要:
An integer-valued fixed point index for compositions of acyclic multivalued maps is constructed. This integer-valued fixed point index has the properties: additivity, homotoy invariance, normalization, commutativity, multiplicativity. The acyclicity is with respect to the Cech cohomology with integer coefficients. The technique of chain approximation is used.
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