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On time-duality of the Conley index

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Abstract

The paper presents a simple proof of the formula

$$\rm\check H^{k} (h(s))\cong H_{dim(M)-k}({h}^*(s))$$

where h(S) denotes the Conley index of an isolated invariant set S in a given flow on an oriented manifold M and h*(S) denotes the index of S with respect to the same flow with the time parameter reversed.

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Authors and Affiliations

  1. Computer Science Department, Jagiellonian University, ul.Nawojki 11, 30-072, Kraków, Poland

    Marian Mrozek

  2. Institute of Mathematics, Jagiellonian University, ul.Reymonta 4, 30-059, Kraków, Poland

    Roman Srzednicki

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  1. Marian Mrozek
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  2. Roman Srzednicki
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Mrozek, M., Srzednicki, R. On time-duality of the Conley index. Results. Math. 24, 161–167 (1993). https://doi.org/10.1007/BF03322325

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  • DOI: https://doi.org/10.1007/BF03322325

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