Trees and Homogeneous LOTS Article Swipe
Related Concepts
Countable set
Homogeneous
Mathematics
Tree (set theory)
Order (exchange)
Interval (graph theory)
Discrete mathematics
Combinatorics
Topological space
Pure mathematics
Topology (electrical circuits)
Economics
Finance
Ethan Akin
,
Karel Hrbáček
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2107.13299
· OA: W3184604468
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2107.13299
· OA: W3184604468
We describe those complete linearly ordered topological spaces $X$ which are homogeneous (=CHLOTS). That is, $X$ is order isomorphic with any nonempty open interval in $X$. Using countable tail-like ordinals as indices, we build towers of distinct CHLOTS. Using tree constructions we are able to extend the towers and to describe an inductive procedure which yields every CHLOTS.
Related Topics
Finding more related topics…