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A short solution of Markov's problem on connected group topologies


Author: Dieter Remus
Journal: Proc. Amer. Math. Soc. 110 (1990), 1109-1110
MSC: Primary 22A05; Secondary 54D05, 54H15
DOI: https://doi.org/10.1090/S0002-9939-1990-1028293-4
MathSciNet review: 1028293
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Abstract: In 1945 A. A. Markov posed a problem concerning the existence of connected group topologies that was recently solved by V. G. Pestov. In this note, a short and independent solution is given.


References [Enhancements On Off] (What's this?)

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  • [5] V. G. Pestov, Absolutely closed sets and a hypothesis of A. A. Markov, Sibirsk. Mat. Zh. 29 (1988), 124-132 (Russian); English transl., Siberian Math. J. 29 (1988), 260-266. MR 941129 (89f:54072)

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DOI: https://doi.org/10.1090/S0002-9939-1990-1028293-4
Article copyright: © Copyright 1990 American Mathematical Society

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