39 citations · 84 across the 51 of their papers we have counts for
10 papers · 2 filters
On rectifiable spaces and paratopological groups
Fucai Lin, Rongxin Shen
We mainly discuss the cardinal invariants and generalized metric properties on paratopological groups or rectifiable spaces, and show that: (1) If and are -narrow subset…
Local properties on the remainders of the topological groups
Fucai Lin
When does a topological group have a Hausdorff compactification with a remainder belonging to a given class of spaces? In this paper, we mainly improve some results of A.V…
Open uniform (G) at non-isolated points and maps
Fucai Lin, Shou Lin
In this paper, we mainly introduce the notion of an open uniform (G) at non-isolated points, and show that a space has an open uniform (G) at non-isolated points if and only if…
Uniform bases at non-isolated points and maps
Fucai Lin, Shou Lin
In this paper, the authors mainly discuss the images of spaces with an uniform base at non-isolated points, and obtain the following main results: (1)\ Perfect maps preserve spaces…
Uniform covers at non-isolated points
Fucai Lin, Shou Lin
In this paper,\ the authors define a space with an uniform base at non-isolated points, give some characterizations of images of metric spaces by boundary-compact maps, and study c…
About remainders in compactifications of paratopological groups
Fucai Lin, Shou Lin
In this paper, we prove a dichotomy theorem for remainders in compactifications of paratopological groups: every remainder of a paratopological group is either Lindelöf and mea…
Regular Bases At Non-isolated Points And Metrization Theorems
Fucai Lin, Shou Lin, Heikki Junnila
In this paper, we define the spaces with a regular base at non-isolated points and discuss some metrization theorems. We firstly show that a space is a metrizable space, if and…
Sequence-covering maps on generalized metric spaces
Fucai Lin, Shou Lin
Let be a map. is a {\it sequence-covering map}\cite{Si1} if whenever is a convergent sequence in there is a convergent sequence i…
Topologically subordered rectifiable spaces and compactifications
Fucai Lin
A topological space is said to be a {\it rectifiable space} provided that there are a surjective homeomorphism and an element such t…
A note on rectifiable spaces
Fucai Lin, Chuan Liu, Shou Lin
In this paper, we firstly discuss the question: Is homeomorphic to a rectifiable space or a paratopological group? And then, we mainly discuss locally compact rect…