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- W4288281413 abstract "We consider Schmidt's game on the space of compact subsets of a given metric space equipped with the Hausdorff metric, and the space of continuous functions equipped with the supremum norm. We are interested in determining the generic behaviour of objects in a metric space, mostly in the context of fractal dimensions, and the notion of `generic' we adopt is that of being winning for Schmidt's game. We find properties whose corresponding sets are winning for Schmidt's game that are starkly different from previously established, and well-known, properties which are generic in other contexts, such as being residual or of full measure." @default.
- W4288281413 created "2022-07-28" @default.
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- W4288281413 date "2019-07-17" @default.
- W4288281413 modified "2023-10-16" @default.
- W4288281413 title "Schmidt's game on Hausdorff metric and function spaces: generic dimension of sets and images" @default.
- W4288281413 doi "https://doi.org/10.48550/arxiv.1907.07394" @default.
- W4288281413 hasPublicationYear "2019" @default.
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