A countably compact topological group 𝐻 such that 𝐻×𝐻 is not countably compact

A countably compact topological group $H$ such that $H\times H$ is not countably compact
HTML articles powered by AMS MathViewer

by Klaas Pieter Hart and Jan van Mill PDF

Trans. Amer. Math. Soc. 323 (1991), 811-821 Request permission

Using ${\mathbf {M}}{{\mathbf {A}}_{{\text {countable}}}}$ we construct a topological group with the properties mentioned in the title.

References

W. W. Comfort and Kenneth A. Ross, Pseudocompactness and uniform continuity in topological groups, Pacific J. Math. 16 (1966), 483–496. MR 207886, DOI 10.2140/pjm.1966.16.483
Eric K. van Douwen, The product of two countably compact topological groups, Trans. Amer. Math. Soc. 262 (1980), no. 2, 417–427. MR 586725, DOI 10.1090/S0002-9947-1980-0586725-8
Donald J. Albers and Constance Reid, An interview with Mary Ellen Rudin, College Math. J. 19 (1988), no. 2, 114–137. MR 944786, DOI 10.2307/2686174
William Weiss, Versions of Martin’s axiom, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 827–886. MR 776638