Proc. Amer. Math. Soc.
 1972
DOI: 10.1090/s0002-9939-1972-0290336-2
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Rigid pairs of long arcs

Gary Glenn Miller1

Abstract: Arcs (linearly ordered continua) A and B are constructed such that every map from A to B and every map from B to A is constant. The Generalized Continuum Hypothesis is sufficient for the existence of two such arcs each of cardinality 2" for each uncountable cardinal s.

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