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Abstract
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 description of the forms of fixed point indices for this class of maps.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
JOURNAL OF DIFFERENTIAL EQUATIONS
no. 436,
ISSN: 0022-0396 - Language:
- English
- Publication year:
- 2025
- Bibliographic description:
- Graff G., Topór P.: Fixed point indices of iterates of orientation-reversing homeomorphisms// JOURNAL OF DIFFERENTIAL EQUATIONS -Vol. 436,iss. art id 113322 (2025), s.1-25
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.jde.2025.113322
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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