MINIMIZATION OF THE NUMBER OF PERIODIC POINTS FOR SMOOTH SELF-MAPS OF CLOSED SIMPLY-CONNECTED 4-MANIFOLDS

被引：0

作者：

Graff, Grzegorz ^{[1
]}

Jezierski, Jerzy ^{[2
]}

机构：

[1] Gdansk Univ Technol, Fac Appl Phys & Math, Narutowicza 11-12, PL-80233 Gdansk, Poland

[2] Warsaw Univ Life Sci SGGW, Inst Applicat Math, PL-00757 Warsaw, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷

关键词：

Indices of iterations; smooth maps; Nielsen number; NIELSEN TYPE NUMBERS; HOMOTOPY MINIMAL PERIODS; INDEXES; ITERATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a smooth closed simply-connected m-dimensional manifold, f be a smooth self-map of M and r be a given natural number. The invariant D-r(m)[f] defined by the authors in [Forum Math. 21 (2009)] is equal to the minimum of D-r(4)(g(r)) over all maps g smoothly homotopic to f. In this paper we calculate the invariant N[f] for the class of smooth self-maps of 4-manifolds with fast grow of Lefschetz numbers and for r being a product of different primes.

引用

页码：523 / 532

页数：10

共 47 条

[1] Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
Graff, Grzegorz
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Jerzy Jezierski
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[3] AN ALGORITHMIC APPROACH TO ESTIMATING THE MINIMAL NUMBER OF PERIODIC POINTS FOR SMOOTH SELF-MAPS OF SIMPLY-CONNECTED MANIFOLDS
Graff, Grzegorz
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[4] Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
Graff, Grzegorz
Jezierski, Jerzy
[J]. GEOMETRIAE DEDICATA, 2017, 187 (01) : 241 - 258
[5] COMPUTATIONS OF THE LEAST NUMBER OF PERIODIC POINTS OF SMOOTH BOUNDARY-PRESERVING SELF-MAPS OF SIMPLY-CONNECTED MANIFOLDS
Graff, Grzegorz
Jezierski, Jerzy
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[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 56 (02) : 589 - 606
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Graff, Grzegorz
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[7] Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds
Grzegorz Graff
Jerzy Jezierski
[J]. Journal of Fixed Point Theory and Applications, 2013, 13 : 63 - 84
[8] Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds
Graff, Grzegorz
Jezierski, Jerzy
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[9] PERIODIC MAPS ON SIMPLY CONNECTED 4-MANIFOLDS
WILCZYNSKI, DM
[J]. TOPOLOGY, 1991, 30 (01) : 55 - 65
[10] Algebraic periods and minimal number of periodic points for smooth self-maps of 1-connected 4-manifolds with definite intersection forms
Duan, Haibao
Graff, Grzegorz
Jezierski, Jerzy
Myszkowski, Adrian
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2024, 26 (02)

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