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Turing degrees in Polish spaces and decomposability of Borel functions
প্রকাশিত 2022“…We give a partial answer to an important open problem in descriptive set theory, the Decomposability Conjecture for Borel functions on an analytic subset of a Polish space to a separable metrizable space. …”
সম্পূর্ণ পাঠ পাওয়ার জন্য
Journal Article -
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Probabilistic programming semantics for name generation
প্রকাশিত 2021“…Our tools are diverse and include descriptive set theory and normal forms for the ν-calculus.…”
Journal article -
4
Expressing Cardinality Quantifiers in Monadic Second−Order Logic over Trees
প্রকাশিত 2010“…Our approach is based on Shelah's composition method and uses basic results from descriptive set theory. The elimination result is constructive, yielding a decision procedure for the extended logic.…”
Journal article -
5
Nonhyperbolic one-dimensional invariant sets with a countably infinite collection of inhomogeneities
প্রকাশিত 2006“…Using tools from descriptive set theory we prove a surprising restriction on the topological structure of these invariant sets if the map satisfies a weak repelling or attracting condition. …”
Journal article -
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Cardinality quantifiers in MLO over trees
প্রকাশিত 2009“…Our approach is based on Shelah's composition method and uses basic results from descriptive set theory. The elimination result is constructive, yielding a decision procedure for the extended logic. …”
Conference item -
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2-tactics in the Choquet game, and the filter dichotomy
প্রকাশিত 2014“…The first part (Chapter 1) concerns a problem born from descriptive set theory, and is motivated by the desire to understand a particular topological game, in the presence of examples which exhibit interesting (arguably counterintuitive) behaviour. …”
গবেষণাপত্র