Title of article :
A topological characterization of ordinals: van Dalen and Wattel revisited
Author/Authors :
Good، نويسنده , , Chris A. Papadopoulos، نويسنده , , Kyriakos، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2012
Abstract :
We revisit van Dalen and Wattelʼs characterization of linearly ordered topological spaces in terms of nests of open sets and use this to give a topological characterization of ordinals. In particular we characterize ω 1 .
Keywords :
LOTS , Linearly ordered topological spaces , Ordinals , Generalized ordered spaces , Nests , ? 1 , GO spaces
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications