The structures of pointwise recurrent quasi-graph maps Article Swipe
Related Concepts
Pointwise
Irrational number
Mathematics
Homeomorphism (graph theory)
Unit circle
Graph
Combinatorics
Simple (philosophy)
Topological conjugacy
Conjugate
Pure mathematics
Geometry
Mathematical analysis
Philosophy
Epistemology
Ziqi Yu
,
Suhua Wang
,
Enhui Shi
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2211.07905
· OA: W4309203565
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2211.07905
· OA: W4309203565
We show that a continuous map $f$ from a quasi-graph $G$ to itself is pointwise recurrent if and only if one of the following two statements holds: (1) $X$ is a simple closed curve and $f$ is topologically conjugate to an irrational rotation on the unit circle $\mathbb S^1$; (2) $f$ is a perodic homeomorphism.
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