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AZ p index theory

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Abstract

In this paper, we introduce aZ p index theory. For any given positive integerp, we introduce a subsetE p of positive integers and define a family of index mappingsσ n ,∀ n ∈ E p . We prove that this index theory possesses the similar properties asZ 2 andS 1 index theories do. In particular, by means of aZ p Borsuk-Ulam theorem given in one of our recent papers we prove that under some suitable conditions this theory also possesses dimensional property which is important in applications. As a simple application, we study the bifurcation problem of periodic solutions of nonautonomous Hamiltonian systems.

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Authors and Affiliations

  1. Department of Mathematics, Péking University, People's Republic of China

    Wang Zhiqiang

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  1. Wang Zhiqiang
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This Research was Supported in part by the National Postdoctoral Science Fund.

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Zhiqiang, W. AZ p index theory. Acta Mathematica Sinica 6, 18–23 (1990). https://doi.org/10.1007/BF02108859

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  • DOI: https://doi.org/10.1007/BF02108859

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