Fanping Zeng

collaborators

5 papers

math.DS2024

$(ω, α, n)$ -sensitivity and limit sets of zero entropy homeomorphisms on the square

Jiehua Mai, Enhui Shi, Kesong Yan +1

For a homeomorphism $f$ of a compact metric space $X$ and a positive integer $n \geq 2$ , we introduce the notion of $(ω, α, n)$ -sensitivity of $f$ , which describes such a kind of ch…

math.DS2024

Can points of bounded orbits surround points of unbounded orbits ?

Jiehua Mai, Enhui Shi, Kesong Yan +1

We show a somewhat surprising result: if $E$ is a disk in the plane $R^{2}$ , then there is a homeomorphism $h : R^{2} \to R^{2}$ such that, for every $x\in\pa…

math.DS2024

Orientation Preserving Homeomorphisms of the Plane having BP-Chain Recurrent Points

Jiehua Mai, Kesong Yan, Fanping Zeng

More than a century ago, L. E. J. Brouwer proved a famous theorem, which says that any orientation preserving homeomorphism of the plane having a periodic point must have a fixed p…

math.DS2024

Some extensions of the Brouwer fixed point theorem

Jiehua Mai, Enhui Shi, Kesong Yan +1

We study the existence of fixed points for continuous maps $f$ from an $n$ -ball $X$ in $R^{n}$ to $R^{n}$ with $n \geq 1$ . We show that $f$ has a fixed point if, for som…

math.DS2023

Structures of $R (f) - P (f)$ for graph maps $f$

Jiehua Mai, Enhui Shi, Kesong Yan +1

Let $G$ be a graph and $f : G \to G$ be a continuous map. We establish a structure theorem which describes the structures of the set $R (f) - P (f)$ , where $R (f)$ and…

(ω,α,n)-sensitivity and limit sets of zero entropy homeomorphisms on the square

Can points of bounded orbits surround points of unbounded orbits ?

Orientation Preserving Homeomorphisms of the Plane having BP-Chain Recurrent Points

Some extensions of the Brouwer fixed point theorem

Structures of R(f)−P(f)​ for graph maps f

$(ω, α, n)$ -sensitivity and limit sets of zero entropy homeomorphisms on the square

Structures of $R (f) - P (f)$ for graph maps $f$