Effective descriptive set theory refines classical descriptive set theory by emphasising computability and algorithmic aspects in the study of definable sets and functions, particularly within Polish ...

Mathematics often helps us to think about issues that don’t seem mathematical. One area that has surprisingly far-reaching applications is the theory of sets. Sets are one of the most basic objects in ...

Set theory, the mathematical study of collections of objects, forms a foundation for much of modern mathematics, while cardinal functions provide a means to quantify the sizes of these sets, ...

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This is a preview. Log in through your library . Abstract Partial functions can be easily represented in set theory as certain sets of ordered pairs. However, classical set theory provides no special ...