Topological Test Spaces
نویسنده
چکیده
Test spaces (or manuals) provide a simple, elegant and very general mathematical framework for the study of probability theory – classical, quantum and otherwise. In many particular cases of interest, test spaces carry significant topological structure. This paper inaugurates a general study of topological test spaces. Among other results, we show that any topological test space with a compact space of outcomes is of finite rank. We also generalize recent work of Clifton and Kent by showing that, under very weak assumptions, any second countable topological test space contains a dense semi-classical test space.
منابع مشابه
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