3 citations · 5 across the 18 of their papers we have counts for
7 papers · 1 filter
An affirmative answer to Yamada's Conjecture
Chuan Liu, Fucai Lin
In this paper, we give an affirmative answer to Yamada's Conjecture on free topological groups, which was posed in [K. Yamada, {\it Fréchet-Urysohn spaces in free topological group…
The countable type properties in free paratopological groups
Fucai Lin, Chuan Liu, kexiu Zhang
A space is of countable type (resp. subcountable type) if every compact subspace of is contained in a compact subspace that is of countable character (resp. countab…
The -property on free topological groups
Fucai Lin, Shou Lin, Chuan Liu
A space is called a -space, if is Tychonoff and the necessary and sufficient condition for a real-valued function on to be continuous is that the restriction…
The -spaces property of free Abelian topological groups over non-metrizable Lašnev spaces
Fucai Lin, Chuan Liu
Given a Tychonoff space , let be the free Abelian topological group over in the sense of Markov. For every , let denote the subspace of $A(X)…
The mapping on the free paratopological groups
Fucai Lin, Chuan Liu
Let be the free paratopological group over a topological space . For each non-negative integer , denote by the subset of consisting o…
The topological properties of -spaces in free topological groups
Fucai Lin, Chuan Liu, Shou Lin
Given a Tychonoff space , let and be respectively the free topological group and the free Abelian topological group over in the sense of Markov. In this paper,…