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- W2950346099 abstract "We extend a dichotomy between 1-basedness and supersimplicity proved in a previous paper. The generalization we get is to arbitrary language, with no restrictions on the topology (we do not demand type-definabilty of the open set in the definition of essential 1-basedness). We conclude that every (possibly uncountable) hypersimple unidimensional theory that is not s-essentially 1-based by means of the forking topology is supersimple. We also obtain a strong version of the above dichotomy in the case where the language is countable." @default.
- W2950346099 created "2019-06-27" @default.
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- W2950346099 date "2013-11-09" @default.
- W2950346099 modified "2023-09-27" @default.
- W2950346099 title "On uncountable hypersimple unidimensional theories" @default.
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