The Sorgenfrey line admits no T1-complementary Hausdorff paratopological group topology, and new PT-sequence criteria characterize transversality for paratopological groups.
Shakhmatov, Condensations of universal topological algebras preservi ng continuity of operations and decreasing weights, Moscow Univ
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Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies
The Sorgenfrey line admits no T1-complementary Hausdorff paratopological group topology, and new PT-sequence criteria characterize transversality for paratopological groups.