英格拉姆猜想
The Ingram Conjecture
摘要:
我们证明了英格拉姆猜想,即,证明了区间[1,2]中每两个斜率不同的帐篷映射的逆极限空间是非同胚的.基于证明得到的结构,我们还证明了帐篷映射的逆极限空间的每个自同胚在核上对移位同胚的某个幂是伪同位素的。
英文摘要:
We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1, 2] are non-homeomorphic. Based on the structure obtained from the proof, we also show that every self-homeomorphism of the inverse limit space of the tent map is pseudo-isotopic, on the core, to some power of the shift homeomorphism.
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