4 citations
7 papers
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 -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,…
Two Weak Forms of Countability Axioms in Free Topological Groups
Fucai Lin, Chuan Liu, Jiling Cao
Given a Tychonoff space , let and be respectively the free topological group and the free Abelian topological group over in the sense of Markov. For every $n\i…