Fucai Lin

activity

20112023

most citedOn rectifiable spaces and paratopological groups

39 citations · 84 across the 51 of their papers we have counts for

collaborators

Showing 2013Show all

5 papers · 1 filter

math.GN2013★ 1 cited

Topological monomorphisms between free paratopological groups

Fucai Lin

Suppose that $X$ is a subspace of a Tychonoff space $Y$ . Then the embedding mapping $e_{X, Y} : X \to Y$ can be extended to a continuous monomorphism $\hat{e}_{X, Y}: AP(X)\r…

math.GN2013

Some weak versions of the $M_{1}$ -spaces

Fucai Lin, Shou Lin

We mainly introduce some weak versions of the $M_{1}$ -spaces, and study some properties about these spaces. The mainly results are that: (1) If $X$ is a compact scattered space and…

math.GN2013

A note on free paratopological groups

Fucai Lin

In this paper, we mainly discuss some generalized metric properties and the character of the free paratopological groups, and extend several results valid for free topological grou…

math.GN2013

$π$ -metrizable spaces and strongly $π$ -metrizable spaces

Fucai Lin, Shou Lin

A space $X$ is said to be $π$ -metrizable if it has a $σ$ -discrete $π$ -base. In this paper, we mainly give affirmative answers for two questions about $π$ -metrizable spaces. The mai…

math.GN2013

On paratopological groups

Fucai Lin, Chuan Liu

In this paper, we firstly construct a Hausdorff non-submetrizable paratopological group $G$ in which every point is a $G_{δ}$ -set, which gives a negative answer to Arhangel'ski\vı\ a…

Topological monomorphisms between free paratopological groups

Some weak versions of the M1​-spaces

A note on free paratopological groups

π-metrizable spaces and strongly π-metrizable spaces

On paratopological groups

Some weak versions of the $M_{1}$ -spaces

$π$ -metrizable spaces and strongly $π$ -metrizable spaces