Local minimalities in paratopological groups

Cardinal invariants in locallyTi-minimal paratopological groups

“…Many topologists have investigated cardinal invariants in topological groups and paratopological groups extensively. In [9], the author proved the following results:…”

“…Lin introduced the concept of locally T i -minimal paratopological groups. For i = 0, 1, 2, 3, 3.5, a T i paratopological group (G, τ ) is called locally T i -minimal [9] if there exists a τ -neighborhood V of the neutral element e such that whenever σ ≤ τ is a T i -paratopological group topology on G such that V is a σ-neighborhood of e, then σ = τ . A paratopological group is called locally minimal [9] if it is a locally T i -minimal paratopological group for each i = 0, 1, 2, 3, 3.5.…”

“…The following questions are posed in [9]: Question 1.1. Is every countable locally T 3 -minimal paratopological group metrizable?…”