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20112023
most citedOn rectifiable spaces and paratopological groups

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

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Showing 2020Show all

7 papers · 1 filter

math.GN2020

Submaximal properties in (strongly) topological gyrogroups

Meng Bao, Fucai Lin

A space is submaximal if any dense subset of is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly -disc…

math.GR2020★ 2 cited

Suitable sets for strongly topological gyrogroups

Fucai Lin, Tingting Shi, Meng Bao

A discrete subset of a topological gyrogroup with the identity is said to be a {\it suitable set} for if it generates a dense subgyrogroup of and …

math.GN2020★ 3 cited

Suitable sets for paratopological groups

Fucai Lin, Alex Ravsky, Tingting Shi

A paratopological group has a {\it suitable set} . The latter means that is a discrete subspace of , is closed, and the subgroup of $…

math.GN2020

Hyperspace of finite unions of convergent sequences

Jingling Lin, Fucai Lin, Chuan Liu

The symbol denotes the hyperspace of finite unions of convergent sequences in a Hausdorff space . This hyperspace is endowed with the Vietoris topology. First o…

math.GN2020

Quotient with respect to admissible -subgyrogroups

Meng Bao, Fucai Lin

The concept of gyrogroups, with a weaker algebraic structure without associative law, was introduced under the background of -ball of relativistically admissible velocities with…

math.GN2020★ 12 cited

Submetrizability of strongly topological gyrogroups

Meng Bao, Fucai Lin

Topological gyrogroups, with a weaker algebraic structure without associative law, have been investigated recently. We prove that each -strongly topological gyrogroup is com…

math.GN2020

Some topological properties of topological rough groups

Fucai Lin, Qianqian Sun, Yujin Lin +1

Let be an approximation space with being non-empty set and being an equivalence relation on , and let and be the upper approximat…