Title of article :
Representing set-inclusion by embeddability (among the subspaces of the real line)
Author/Authors :
McCluskey، نويسنده , , A.E. and McMaster، نويسنده , , T.B.M. and Watson، نويسنده , , W.S.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 1999
Abstract :
We establish that the powerset P(R) of the real line R, ordered by set-inclusion, has the same ordertype as a certain subset of P(R) ordered by homeomorphic embeddability. This is a contribution to the ongoing study of the possible ordertypes of subfamilies of P(R) under embeddability, pioneered by Banach, Kuratowski and Sierpiński.
Keywords :
Ordering by homeomorphic embeddability , G?-sets , partial order , Transfinite induction
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications