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您的检索式：作者名="Xiangeng Zhou"
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| 1 | An Application of Set Theory in Quasi-Paracompactness显示文摘In 1977,Yingming Liu introduced quasi-paracompactness and proved that under 2^(ω1)>2~ωevery separable normal quasi-paracompact space is a paracompact space,which is a result of set-theoretic topology.In this paper we further prove that hypothesis“2^(ω1)>2~ω”is equivalent to that every separable normal quasi-paracompact space is a paracompact space,which gives an independent result of quasi-paracompactness. | Xiangeng ZHOU Shou LIN | 2022 | Journal of Mathematical Research with Applications2022，42，6： | 0 |
| 2 | s-Sequence-Covering Mappings on Metric Spaces显示文摘In this paper,we introduce and study s-sequence-covering mappings and 1-s-sequence-covering mappings,obtain some characterizations of s-sequence-covering and compact images of metric spaces,and prove that every s-sequence-covering and compact mapping in first-countable spaces is a 1-s-sequence-covering mapping. | Xiangeng Zhou Li Liu | 2022 | Journal of Mathematical Study2022，55，1： | 0 |
| 3 | On G-quotient Mappings and Networks Defined by G-convergence显示文摘Let G_(1),G_(2) be methods on topological spaces X and Y respectively,f:X→Y be a mapping,P be a cover of X.f is said to be a(G_(1),G_(2))-quotient mapping provided f^(−1)(U)is G_(1)-open in X,then U is G_(2)-open in Y.P is called a G-cs′-network of X if whenever x={xn}n∈N∈cG(X)and G(x)=x∈U with U open in X,then there exists some n0∈N such that{x,x_(n0)}⊂P⊂U for some P∈P.P is called a G-kernel cover of X if{(U)_(G):U∈P}is a cover of X.In this paper,we introduce the concepts of(G_(1),G_(2))-quotient mappings,G-cs′-networks and G-kernel covers of X,and study some characterizations of(G_(1),G_(2))-quotient mappings,G-cs′-networks,and G-kernel covers of X.In particular,we obtain that if G is a subsequential method and X is a G-Fréchet space with a point-countable G-cs′-network,then X is a meta-Lindelöf space. | Fang Liu Xiangeng Zhou Li Liu | 2023 | Journal of Mathematical Study2023，56，2： | 0 |
| 4 | On I-Covering Mappings and 1-I-Covering Mappings显示文摘In this paper,we introduce the concepts of I-covering mappings and 1-I-covering mappings,discuss the difference between sequence-covering and I-covering mappings by some examples.With those concepts,we get some interesting properties of I-covering(1-I-covering)mappings and some characterizations of I-covering(1-I-covering)and compact mapping images of metric spaces. | Xiangeng ZHOU Li LIU | 2020 | Journal of Mathematical Research with Applications2020，40，1： | 0 |
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