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The Space of Strong Types and an open map Theorem

Acta Mathematica Sinica,English Series 1997年第1期13卷 59-63页

作者： Shen Yunfu (Department of Mathematics,Beijing Normal University,Beijin9 100875,China) Department of Mathematics Beijing Normal University Beijing China

We define a new topology on the space of strong types on a subset A of a model of a given theory and prove that either|Sp*（A）|0 or|Sp*（A）|≥2sub>0.We also deduce an open map theorem.

关键词： Strong type open map Model theory

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Sensitive open maps on Peano Continua Having a Free Arc

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Acta Mathematica Sinica,English Series 2016年第6期32卷 736-744页

作者： En Hui SHI Su Hua WANG Li Ying MA Department of Mathematics Soochow University Zhangjiagang Campus Jiangsu University of Science and Technology

Let X be a Peano continuum having a free arc. If X admits a sensitive open map, then X either is homeomorphic to the closed interval [0, 1], or is homeomorphic to the unit circle S^1.

关键词： Sensitivity open map Peano continuum free arc

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