论文标题
部分可观测时空混沌系统的无模型预测
Topological and metric emergence of continuous maps
论文作者
论文摘要
我们证明，尺寸为尺寸的紧凑型歧管的同构具有零拓扑结构，而在尺寸大于c^0代的保守同态同态的拓扑出现大于一个尺寸上是最大的，等于歧管的维度。此外，我们表明，紧凑型公制空间上连续自图的度量出现具有中间值属性。
We prove that the homeomorphisms of a compact manifold with dimension one have zero topological emergence, whereas in dimension greater than one the topological emergence of a C^0-generic conservative homeomorphism is maximal, equal to the dimension of the manifold. Moreover, we show that the metric emergence of continuous self-maps on compact metric spaces has the intermediate value property.
