Minimal number of periodic points of smooth boundarypreserving selfmaps of simplyconnected manifolds
Abstract
Let M be a smooth compact and simplyconnected manifold with simplyconnected boundary ∂M, r be a fixed odd natural number. We consider f, a C1 selfmap of M, preserving ∂M . Under the assumption that the dimension of M is at least 4, we define an invariant Dr(f;M,∂M) that is equal to the minimal number of rperiodic points for all maps preserving ∂M and C1homotopic to f. As an application, we give necessary and sufficient conditions for a reduction of a set of rperiodic points to one point in the C1homotopy class.
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 Category:
 Articles
 Type:
 artykuł w czasopiśmie wyróżnionym w JCR
 Published in:

GEOMETRIAE DEDICATA
no. 2016,
pages 1  18,
ISSN: 00465755  Language:
 English
 Publication year:
 2016
 Bibliographic description:
 Graff G., Jezierski J.: Minimal number of periodic points of smooth boundarypreserving selfmaps of simplyconnected manifolds// GEOMETRIAE DEDICATA. Vol. 2016, (2016), s.118
 DOI:
 Digital Object Identifier (open in new tab) 10.1007/s1071101601994
 Verified by:
 Gdańsk University of Technology
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