Maximal connected expansions of the reals

Guthrie, J. A.; Stone, H. E.; Wage, M. L.

doi:10.1090/S0002-9939-1978-0467646-4

Maximal connected expansions of the reals
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by J. A. Guthrie, H. E. Stone and M. L. Wage PDF

Proc. Amer. Math. Soc. 69 (1978), 159-165 Request permission

Abstract:

The question of whether there exist nontrivial maximal connected Hausdorff spaces is settled in the affirmative by showing that there is a maximal connected topology for the reals which is finer than the Euclidean topology.

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Maximal connected topologies

a survey of the problem

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