Suslin lines

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:contrastsWith real line
gptkbp:defines A totally ordered set that is dense, complete, has no endpoints, satisfies the countable chain condition, but is not separable.
gptkbp:field gptkb:set_theory
https://www.w3.org/2000/01/rdf-schema#label Suslin lines
gptkbp:namedAfter gptkb:Mikhail_Suslin
gptkbp:openQuestion Existence is independent of ZFC
gptkbp:property totally ordered
countable chain condition
complete order
dense order
no endpoints
not separable
gptkbp:relatedTo gptkb:Suslin's_problem
Suslin tree
gptkbp:studiedIn gptkb:topology
gptkb:order_theory
gptkbp:bfsParent gptkb:set-theoretic_topology
gptkbp:bfsLayer 6