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Varieties generated by countably compact Abelian groups |
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| Authors: | Dikran Dikranjan Michael Tkachenko |
| Affiliation: | Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze 206, 33100 Udine, Italy ; Departamento de Matemáticas, Universidad Autónoma Metropolitana, México |
| Abstract: | We prove under the assumption of Martin's Axiom that every precompact Abelian group of size  belongs to the smallest class of groups that contains all Abelian countably compact groups and is closed under direct products, taking closed subgroups and continuous isomorphic images. |
| Keywords: | Countably compact precompact sequentially complete variety of topological groups Martin's Axiom |
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