Periods of continuous maps on some compact spaces

被引：3
|
作者：
Garcia Guirao, Juan Luis [1 ]
Llibre, Jaume [2 ]
机构：
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Spain
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2017年 / 23卷 / 1-2期
关键词：
Periods; periodic points; continuous map; Lefschetz fixed point theory; sphere; product of two spheres; complex projective space; quaternion projective space; CONTINUOUS SELF-MAPS;
D O I：
10.1080/10236198.2017.1304932
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is to provide information on the set of periodic points of a continuous self-map defined in the following compact spaces: Sn (the n-dimensional sphere), Sn x Sm (the product space of the n-dimensionalwith them-dimensional spheres), CPn (the n-dimensional complex projective space) andHPn (the n-dimensional quaternion projective space). We use as main tool the action of the map on the homology groups of these compact spaces.
引用
收藏
页码：1 / 7
页数：7
相关论文
共 50 条
  • [1] PERIODS OF HOMEOMORPHISMS ON SOME COMPACT SPACES
    Garcia Guirao, Juan Luis
    Llibre, Jaume
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2016, 42 (03): : 1047 - 1058
  • [2] About Continuous maps of compact Spaces.
    Alexandroff, Paul
    [J]. MATHEMATISCHE ANNALEN, 1927, 96 : 555 - 571
  • [3] SOME REMARKS ON COMPACT MAPS IN BANACH SPACES
    JOHN, K
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1973, 23 (02) : 177 - 182
  • [4] Compact separating maps on continuous fields of Banach spaces
    Lin, Y. -F.
    Todorov, I. G.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (05) : 1221 - 1228
  • [5] SOME CONTINUOUS, AND COMPACT, POLYNOMIAL OPERATORS ON FUNCTION SPACES
    AMSON, JC
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 5 (AUG): : 223 - &
  • [6] SOME LATTICES OF CONTINUOUS FUNCTIONS ON LOCALLY COMPACT SPACES
    Cater, F. S.
    [J]. REAL ANALYSIS EXCHANGE, 2007, 33 (02) : 285 - 289
  • [7] CONTINUOUS MAPS OF EXTREMALLY DISCONNECTED COMPACT SPACES ONTO THE CANTOR CUBE
    BANDLOV, I
    [J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1979, (05): : 56 - 59
  • [8] Some topologies on the spaces of USCO maps and densely continuous forms
    A. Caterino
    R. Ceppitelli
    L’. Holá
    L. Zampogni
    [J]. Acta Mathematica Hungarica, 2008, 121 : 187 - 201
  • [9] SOME TOPOLOGIES ON THE SPACES OF USCO MAPS AND DENSELY CONTINUOUS FORMS
    Caterino, A.
    Ceppitelli, R.
    Hola, L'
    Zampogni, L.
    [J]. ACTA MATHEMATICA HUNGARICA, 2008, 121 (1-2) : 187 - 201
  • [10] CONVEX COMPACT SPACES AND THEIR MAPS
    REZNICHENKO, EA
    [J]. TOPOLOGY AND ITS APPLICATIONS, 1990, 36 (02) : 117 - 141
12345