12 citations · 22 across the 19 of their papers we have counts for
19 papers
On strong -spaces
Xinpeng Wen, Meng Bao, Xiaoquan Xu
In this paper, we mainly investigate some basic properties of strong -spaces. It is shown that the property of being a strong -space is closed-hereditary, saturated-hereditar…
On GSI2-convergence in T0-spaces
Xinpeng Wen, Meng Bao, Wenfeng Zhang
In this paper,we introduce the concept of GSI-convergence in spaces and the related concept of (strongly) QI-continuous spaces. It is proved that if GSI-convergen…
On some kinds of factorizable topological groups
Meng Bao, Xiaoquan Xu
Based on the concepts of -factorizable topological groups and -factorizable topological groups, we introduce four classes of factorizabilities on topologic…
On Function Spaces Related to H-sober Spaces
Meng Bao, Xiaoyuan Zhang, Xiaoquan Xu
In this paper, we mainly study the function spaces related to H-sober spaces. For an irreducible subset system H and spaces and , it is proved that is H-sober if…
Quotient spaces with strong subgyrogroups
Meng Bao, Xuewei Ling, Xiaoquan Xu
In this paper, we mainly investigate the quotient spaces G/H when G is a strongly topological gyrogroup and H is a strong subgyrogroup of G. It is shown that if G is a strongly top…
A supplement on feathered gyrogroups
Meng Bao, Xuewei Ling, Xiaoquan Xu
A topological gyrogroup is a gyrogroup endowed with a topology such that the binary operation is jointly continuous and the inverse mapping is also continuous. It is shown that eac…
Some properties of Pre-topological groups
Fucai Lin, Ting Wu, Yufan Xie +1
In this paper, we pose the concepts of pre-topological groups and some generalizations of pre-topological groups. First, we systematically investigate some basic properties of pre-…
Some properties of Pre-uniform spaces
Fucai Lin, Yufan Xie, Ting Wu +1
In this paper, we introduce the notions of pre-uniform spaces and pre-proximities and investigate some basic properties about them, where the definition of pre-uniformity here is d…
Embedding into connected, locally connected topological gyrogroups
Jingling Lin, Meng Bao, Fucai Lin
In this paper, it is proved that every topological gyrogroup is topologically groupoid isomorphic to a closed subgyrogroup of a connected, locally connected topological gyrogro…
A class of quotient spaces in strongly topological gyrogroups
Meng Bao, Jie Wang, Xiaoquan Xu
Quotient space is a class of the most important topological spaces in the research of topology. In this paper, we show that if G is a strongly topological gyrogroup with a symmetri…
Topological gyrogroups with Frechet-Urysohn property and omega^{omega}-base
Meng Bao, Xiaoyuan Zhang, Xiaoquan Xu
The concept of topological gyrogroups is a generalization of a topological group. In this work, ones prove that a topological gyrogroup G is metrizable iff G has an ωω-base and G i…
The strong Pytkeev property and strong countable completeness in (strongly) topological gyrogroups
Meng Bao, Xiaoyuan Zhang, Xiaoquan Xu
A topological gyrogroup is a gyrogroup endowed with a topology such that the binary operation is jointly continuous and the inverse mapping is also continuous. In this paper, it is…
Strongly Topological Gyrogroups and Quotient With Respect to L-subgyrogroups
Meng Bao, Xuewei Ling, Xiaoquan Xu
In this paper, some generalized metric properties in strongly topological gyrogroups are studied.
Submaximal properties in (strongly) topological gyrogroups
Meng Bao, Fucai Lin
A space is submaximal if any dense subset of is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly -disc…
Separability in (strongly) topological gyrogroups
Meng Bao, Xiaoyuan Zhang, Xiaoquan Xu
Separability is one of the most basic and important topological properties. In this paper, the separability in (strongly) topological gyrogroups is studied. It is proved that every…
Suitable sets for strongly topological gyrogroups
Fucai Lin, Tingting Shi, Meng Bao
A discrete subset of a topological gyrogroup with the identity is said to be a {\it suitable set} for if it generates a dense subgyrogroup of and …
Quotient with respect to admissible -subgyrogroups
Meng Bao, Fucai Lin
The concept of gyrogroups, with a weaker algebraic structure without associative law, was introduced under the background of -ball of relativistically admissible velocities with…
Submetrizability of strongly topological gyrogroups
Meng Bao, Fucai Lin
Topological gyrogroups, with a weaker algebraic structure without associative law, have been investigated recently. We prove that each -strongly topological gyrogroup is com…
Feathered gyrogroups and gyrogroups with countable pseudocharacter
Meng Bao, Fucai Lin
Topological gyrogroups, with a weaker algebraic structure than groups, have been investigated recently. In this paper, we prove that every feathered strongly topological gyrogroup…