## Proceedings of the American Mathematical Society
/ v.127 no.5. 1999, pp.1275-1279

Author :

Abstract :
An elementary argument constructs, for each cardinal $\alpha $ , a topological space whose subspaces, ordered by homeomorphic embeddability, can model every partial order on $\alpha $ -many points. We show how to modify this procedure to deal also with quasi-orders (where the antisymmetry condition may fail), obtaining an initial estimate of the cardinality of the space then required.

Keyword :
Primary 06A06, 54H10 . Partial order . Quasi-order . Ordering by embeddability

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