A fixed point theorem for the pseudo-circle

J.P. Boronski

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A fixed point theorem for the pseudo-circle

机译：伪圆的不动点定理

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摘要

Let f :C → C be a self-map of the pseudo-circle C. Suppose that C is embedded into an annulus A, so that it separates the two components of the boundary of A. Let F: A → A be an extension of f to A (i.e. F|C = f). If F is of degree d then f has at least |d -1| fixed points. This result generalizes to all plane separating circle-like continua.

机译：令f：C→C是伪圆C的自映射。假设C嵌入在环A中，因此它将A的边界的两个分量分隔开。令F：A→A为扩展f到A（即F | C = f）。如果F为d，则f至少为| d -1 |。定点。该结果推广到所有平面分离圆形连续体。

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来源
《Topology and its applications》 |2011年第6期|p.775-778|共4页
作者
J.P. Boronski;
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作者单位

Department of Mathematics, Auburn University at Montgomery, P.O. Box 244023, Montgomery, AL 36124, United States,Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30,30-059 Krakow, Poland;

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正文语种 eng
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关键词
fixed point; pseudo-circle; pseudo-arc; circle-like continuum; nielsen class;

机译：不动点;拟圆;拟弧;圆状连续体;尼尔森级;

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机译：伪圆的不动点定理

A fixed point theorem for the pseudo-circle

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