A rigid subspace of the real line whose square is a homogeneous subspace of the plane

Lawrence, L.

doi:10.1090/S0002-9947-05-03212-5

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A rigid subspace of the real line whose square is a homogeneous subspace of the plane
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by L. Brian Lawrence PDF

Trans. Amer. Math. Soc. 357 (2005), 2535-2556 Request permission

Abstract:

Working in ZFC, we give an example as indicated in the title.

References

Jan van Mill, A rigid space $X$ for which $X\times X$ is homogeneous; an application of infinite-dimensional topology, Proc. Amer. Math. Soc. 83 (1981), no. 3, 597–600. MR 627701, DOI 10.1090/S0002-9939-1981-0627701-2