39 citations · 84 across the 51 of their papers we have counts for
5 papers · 1 filter
Some generalized metric properties on hyperspaces with the Vietoris topology
Fucai Lin, Rongxin Shen, Chuan Liu
We study the heredity of the classes of generalized metric spaces (for example, spaces with a -hereditarily closure-preserving -network, spaces with a point-countable base, s…
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…
The -connected property and -topological groups
Yongxing Wu, Fucai Lin
In this paper, we discuss some properties of of -hull, -kernel and -connectedness, and extend some results of \cite{life34}. In particular, we prove that the -connected…
Transversal, -independent, and -complementary paratopological group topologies
Fucai Lin
We discuss the class of paratopological groups which admits a transversal, -independent and -complementary paratopological group topology. We show that the Sorgenfrey…
The Transversality on locally pseudocompact groups
Fucai Lin, Zhongbao Tang
Two non-discrete Hausdorff group topologies on a group are called {\it transversal} if the least upper bound of and is the discrete topology. In this p…