2 citations · 3 across the 10 of their papers we have counts for
11 papers
Answer some Tkachenko's questions in factorizable semitopological groups
Li-Hong Xie
We construct a Hausdorff quasitopological abelian group that is second-countable and semiregular, with a bounded continuous function that does not factor through any regular first-…
On the continuity of the inverse in (strongly) paratopological gyrogroups
Ying-Ying Jin, Li-Hong Xie
In this paper, we consider the continuity of the inverse in (strongly) paratopological gyrogroups. The conclusions are established as follows: (1) A compact Hausdorff paratopologic…
On an Instance of the Small Cohen-Macaulay Conjecture
Likun Xie
We provide a simplified proof of a theorem proved by Tavanfar and Shimomoto which states that a quasi-Gorenstein deformation of a -dimensional quasi-Gorenstein local ring $(A,m,…
Quotients with respect to strongly -subgyrogroups
Ying-Ying Jin, Li-Hong Xie
A topological gyrogroup is a gyrogroup endowed with a compatible topology such that the multiplication is jointly continuous and the inverse is continuous. In this paper, we study…
On -metric spaces
Shi-yao He, Li-Hong Xie, Peng-Fei Yan
Metric spaces are generalized by many scholars. Recently, Khatami and Mirzavaziri use a mapping called -definer to popularize the triangle inequality and give a generalization o…
On paratopological gyrogroups
Yingying Jin, Li-Hong Xie
The concept of gyrogroups is a generalization of groups which do not explicitly have associativity. Recently, Atiponrat extended the idea of topological (paratopological) groups to…
The construction of Hartman-Mycielski in topological gyrogroups
Yingying Jin, Li-Hong Xie
The concept of gyrogroups is a generalization of groups which do not explicitly have associativity. Recently, Wattanapan et al consider the construction of Hartman-Mycielski in str…
Fuzzy gyronorms on gyrogroups
Li-Hong Xie
The concept of gyrogroups is a generalization of groups which do not explicitly have associativity. In this paper, the notion of fuzzy gyronorms on gyrogroups is introduced. The re…
Locally upper bounded poset-valued maps and stratifiable spaces
Ying-Ying Jin, Li-Hong Xie, Han-Biao Yang
In this paper, we characterize stratifiable (or semi-stratifiable) spaces, and monotonically countably paracompact (or monotonically countably metacompact) spaces by expansions of…
Simply -factorizable (para)topological groups and their completions
Li-Hong Xie, Mikhail Tkachenko
Let us call a (para)topological group \emph{strongly submetrizable} if it admits a coarser separable metrizable (para)topological group topology. We present a characterization of s…
The continuous -open homomorphism images and subgroups of -factorizabile paratopological groups
Li-Hong Xie, Pengfei Yan
In this paper, we prove that: (1) Let be a continuous -open surjective homomorphism; if is an -factorizabile paratopological group, then so is…