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摘要: |
研究了非空紧致度量空间上连续映射f·X→X,g?X→X的双重逆极限空间上移位映射σf·σg:lim(X,f·g)→lim(X,f?g)的一些性质:如果f,g为满射,那么移位映射σf·σg为弱刚性的(一致刚性的)当且仅当f?g为弱刚性的(一致刚性的);f?g为几乎等度连续的,那么σf·σg也是几乎等度连续的. |
关键词: 双重逆极限空间 移位映射 弱刚性 一致刚性 几乎等度连续性 |
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Shift Mapping Rigidity and Almost Equicontinuity over Double Reverse Limit Space |
ZHANG Jie,JIN Yu-guang
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Abstract: |
Some properties of shift mappingσf·σg:lim(X,f·g)→lim(X,f?g) over double reverse limit space of continuous mapping f·X→X,g?X→X over non-empty compact metric space are studied,if f,g is surjection,then shift mapping σf·σgis weak rigidity(uniform rigidity)if and only if f?gis weak rigidity(uniform rigidity),f?g is almost equi-continuous,then σf·σg is also almost equi-continuous. |
Key words: double reverse limit space shift mapping weak rigidity uniform rigidity almost equi-continuity |