Souslin's conjecture

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Souslin's conjecture [′sü‚slanz kən‚jek·chər]

(mathematics)

The conjecture that a topological space is homeomorphic to the real line if (1) it is totally ordered with no first or last element, (2) the open intervals are a base for its topology, (3) it is connected, and (4) any collection of disjoint open intervals.

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