Countably compact groups without non-trivial convergent sequences
| Authors |
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| Publication date | 02-2021 |
| Journal | Transactions of the Americal Mathematical Society |
| Volume | Issue number | 374 | 2 |
| Pages (from-to) | 1277-1296 |
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| Abstract | We construct, in ZFC, a countably compact subgroup of 2c without non-trivial convergent sequences, answering an old problem of van Douwen. As a consequence we also prove the existence of two countably compact groups G0 and G1 such that the product G0 × G1 is not countably compact, thus answering a classical problem of Comfort. |
| Document type | Article |
| Note | © Copyright 2020 American Mathematical Society |
| Language | English |
| Published at | https://doi.org/10.1090/tran/8222 |
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Countably compact groups without non-trivial convergent sequences
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