7 citations · 19 across the 15 of their papers we have counts for
13 papers · 1 filter
The -property and countable tightness of free topological vector spaces
Fucai Lin, Shou Lin, Chuan Liu
The free topological vector space over a Tychonoff space is a pair consisting of a topological vector space and a continuous map such…
The -property of free Abelian topological groups and products of sequential fans
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…
Some New Questions on Point-countable Covers and Sequence-covering Mappings
Shou Lin, Jing Zhang
In this survey, 37 questions on point-countable covers and sequence-covering mappings are listed, in which some of these questions have been answered. These questions are mainly re…
Some topological properties of Charming spaces
Xiaoting Li, Fucai Lin, Shou Lin
In this paper, we mainly discuss the class of charming spaces, which was introduced by A.V. Arhangel'skii in [Remainders of metrizable spaces and a generalization of Lindelöf -s…
Some weak versions of the -spaces
Fucai Lin, Shou Lin
We mainly introduce some weak versions of the -spaces, and study some properties about these spaces. The mainly results are that: (1) If is a compact scattered space and…
-metrizable spaces and strongly -metrizable spaces
Fucai Lin, Shou Lin
A space is said to be -metrizable if it has a -discrete -base. In this paper, we mainly give affirmative answers for two questions about -metrizable spaces. The mai…