Summary
The notion of strongly transitive systems of sets was considered by G. D. Birkhoff in connection with ergodic theory (see [1]) using the concept of measure. An analogue of this notion in Topology is obtained by replacing measurable sets by sets having Baire property and sets of measure zero by meager sets.
In this paper, some examples of strongly transitive systems in the topological sense are discussed and the Baire property is shown essential in the definition of this notion.
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Dedicated to Professor BeniaminoSegre on the occasion of his 70-th birthday.
Entrata in Redazione il 9 marzo 1973.
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Kuratowski, K. On the concept of strongly transitive systems in topology. Annali di Matematica 98, 357–363 (1974). https://doi.org/10.1007/BF02414034
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DOI: https://doi.org/10.1007/BF02414034