Title of article
Topological algebraic structure on Souslin and Aronszajn lines
Author/Authors
Gruenhage، نويسنده , , Gary and Heath، نويسنده , , Robert W. and Poerio، نويسنده , , Thomas، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
5
From page
818
To page
822
Abstract
Z. Feng and R.W. Heath proved that any separable linearly ordered space (LOTS) which is a cancellative topological semigroup must be metrizable. In this note, we show that the same holds more generally for CCC LOTS by proving that no Souslin line admits a continuous cancellative binary operation. We also show that no Lindelِf Aronszajn line admits such an operation.
Keywords
Paratopological group , Cancellative topological semigroup , Souslin line , Aronszajn line , Topological group
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583244
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