SOURCES AND SINKS OF A-DIFFEOMORPHISMS OF SURFACES
SOURCES AND SINKS OF A-DIFFEOMORPHISMS OF SURFACES
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表面 A-微分形的源和汇
DOI：
10.1070/sm1974v023n02abeh001719
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发表时间：
1974
期刊：
影响因子：
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通讯作者：
R. V. Plykin
中科院分区：
文献类型：
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作者：
R. V. Plykin
本文研究了满足公理A的二维表面的一维微分同态基本集存在时零维汇源出现的机理。构造了二维球面结构稳定微分同态的一维基本集的新实例。证明了属小于2的可定向曲面非y型微同态的零维汇和零维源的存在性。利用曲面的拓扑不变量，给出了可定向曲面a -微分同胚的充分定位基集的个数。人物:2。参考书目：17项。
In the present paper the mechanism of the appearance of zero-dimensional sinks and sources in the presence of one-dimensional basic sets of diffeomorphisms of two-dimensional surfaces, satisfying Axiom A, is studied. New examples are constructed of one-dimensional basic sets of structurally stable diffeomorphisms of the two-dimensional sphere. The existence is proved of zero-dimensional sinks and sources of diffeomorphisms of orientable surfaces of genus less than two, which are not Y-diffeomorphisms. An estimate is given of the number of amply situated basic sets of A-diffeomorphisms of orientable surfaces by means of topological invariants of the surfaces. Figures: 2. Bibliography: 17 items.