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Year 2025

Fixed point indices of iterates of orientation-reversing homeomorphisms
Publication
- G. Graff
- P. Topór
- JOURNAL OF DIFFERENTIAL EQUATIONS - Year 2025
We show that any sequence of integers satisfying necessary Dold’s congruences is realized as the se quence of fixed point indices of the iterates of an orientation-reversing homeomorphism of R^m for m ≥ 3. As an element of the construction of the above homeomorphism, we consider the class of boundary preserving homeomorphisms of R^m_+ and give the answer to the problem posed by Barge and Wójcik (2017) [2] providing a complete...

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