We present a survey on paratopological and semitopological groups relating these classes
with the class of topological groups. A special attention is given to compactness-type …

We present a concise survey of results on semitopological and paratopological groups that
have mainly been obtained during the last decade. Primarily we focus attention on cardinal …

We detect topological semigroups that are topological paragroups, ie, are isomorphic to a
Rees product of a topological group over topological spaces with a continuous sandwich …

We obtain many results and solve some problems about feebly compact paratopological
groups. We obtain necessary and sufficient conditions for such a group to be topological …

By means of the theory of bispaces we show that a countably compact T 0 paratopological
group (G, τ) is a topological group if and only if (G, τ∨ τ-1) is ω-bounded (here τ-1 is the …

For i= 1, 2, 3, 3.5, we define the class of Ri-factorizable paratopological groups G by the
condition that every continuous real-valued function on G can be factorized through a …

The note contains a few results related to separation axioms and automatic continuity of
operations in compact-like semitopological groups. In particular, is presented a semiregular …

We study the structure of inverse primitive feebly compact semitopological and topological
semigroups. We find conditions when the maximal subgroup of an inverse primitive feebly …

We obtain necessary and sufficient conditions when a pseudocompact paratopological
group is topological.(2-) pseudocompact and countably compact paratopological groups that …

We present several examples of feebly compact Hausdorff paratopological groups (ie,
groups with continuous multiplication) which provide answers to a number of questions …