On the triviality of flows in Alexandroff spaces
We prove that the unique possible flow in an Alexandroff $T_0$-space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.
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arXiv subjects
Diego Mondéjar Ruiz
Publications and source records attributed to Diego Mondéjar Ruiz.
Reconstruction of compacta by finite approximations and Inverse Persistence
The aim of this paper is to show how the homotopy type of compact metric spaces can be reconstructed by the inverse limit of an inverse sequence of finite approximations of the corresponding space. This recovering allows us to define inverse persistence as a new kind of persistence process.
math.GT↗