Xiongping Dai

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math.DS2026

On semi-openness of fiber-onto extensions of minimal semiflows and quasi-separable maps

Xiongping Dai, Li Feng, Congying Lv +1

The purpose of this paper is to find conditions for a continuous onto map $I ¨ : X \to Y$ and its induced map $I ¨ _{*} : M^{1} (X) \to M^{1} (Y)$ to b…

math.DS2024

Characterizations of open and semi-open maps of compact Hausdorff spaces by induced maps

Xiongping Dai, Yuxun Xie

Let $f : X \to Y$ be a continuous surjection of compact Hausdorff spaces. By $$f_*\colon\mathfrak{M}(X)\rightarrow\mathfrak{M}(Y),\ Î¼\mapsto Î¼\circ f^{-1} \quad{\rm an…

math.DS2024

On sncc-inheritance of pointwise almost periodicity in flows

Xiongping Dai

Let $H$ be a subnormal co-compact closed subgroup of a Hausdorff topological group $T$ and $X$ a compact Hausdorff space. We prove the inheritance theorem: A point of $X$ is almost…