On Order Topologies and the Real Line

F. S. Cater

doi:rae/1230995411

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Home > Journals > Real Anal. Exchange > Volume 25 > Issue 2 > Article

1999/2000 On Order Topologies and the Real Line

F. S. Cater

Real Anal. Exchange 25(2): 771-780 (1999/2000).

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Abstract

We find order topologies that are universal for certain topological properties. An order topology $T$ enjoys a given property if and only if there is an order preserving homeomorphism of $T$ into the universal space for this property. We give similar results for order preserving mappings in place of homeomorphisms.