Recognizing the real line

Gurevich, Yuri; Holland, W. Charles

doi:10.1090/S0002-9947-1981-0610963-X

Recognizing the real line
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by Yuri Gurevich and W. Charles Holland PDF

Trans. Amer. Math. Soc. 265 (1981), 527-534 Request permission

Abstract:

A certain elementary statement about the group of automorphisms of the real line $\mathbf {R}$ is sufficient to characterize $\mathbf {R}$ among homogeneous chains. A similar result holds for the chain of rational numbers.

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