Supported by NSF of China (Grant No.11671057);NSF of Chongqing (Grant No.cstc2020jcyj-msxm X0694)。
In this paper,we study the relationship between the multi-sensitivity and the topological maximal sequence entropy of dynamical systems for general group action.Furthermore,we also discuss the consistency of multi-sen...
Supported by the National Natural Science Foundation of China(Grant No.10971125)
A metric space (X, d) is called bi-Lipschitz homogeneous if for any points x, y ∈X, there exists a self-homeomorphism h of X such that both h and h-1 are Lipschitz and h(x) = y. Let 2(x,d) denote the family of ...
Quantum measurement requires an observer to prepare a specific macroscopic measuring device from various options. In previous papers we redefined this observer role through a new concept: the observer determination, t...
Let be a metric continuum. Let , is said to make a hole in , if is not unico-herent. In this paper, we characterize elements such that makes a hole in , where is either a smooth fan or an Elsa continuum.
Supported by National Natural Science Foundation of China (Grant No.10971125)
For a Tychonoff space X, we use ↓USCF(X) and↓CF(X) to denote the families of the hypographs of all semi-continuous maps and of all continuous maps from X to I = [0, 1] with the subspace topologies of the hypersp...
Agent-oriented approach is increasingly showing its magic power in a diversity of fields, specifically, ubiquitous computing and smart environment. Meanwhile, it is considered the next creative issue is to interconnec...