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Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces
Abstract
Let f be a smooth self-map of a closed connected manifold of dimension m⩾3. The authors introduced in [G. Graff, J. Jezierski, Minimizing the number of periodic points for smooth maps. Non-simply connected case, Topology Appl. 158 (3) (2011) 276-290] the topological invariant NJD_r[f], where r is a fixed natural number, which is equal to the minimal number of r-periodic points in the smooth homotopy class of f. In this paper smooth self-maps of real projective space RP^m, where m>3 is odd, are considered and the estimations from below and above for NJD_r[f] are given
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.topol.2012.08.027
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- Copyright (2012 Elsevier B.V)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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TOPOLOGY AND ITS APPLICATIONS
no. 159,
ISSN: 0166-8641 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Graff G., Jezierski J.: Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces// TOPOLOGY AND ITS APPLICATIONS. -Vol. 159, nr. iss. 18 (2012),
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.topol.2012.08.027
- Verified by:
- Gdańsk University of Technology
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