Towards Synthetic Descriptive Set Theory: An instantiation with represented spaces

Published 7 Jul 2013 in cs.LO, math.CT, and math.LO | (1307.1850v2)

Abstract: Using ideas from synthetic topology, a new approach to descriptive set theory is suggested. Synthetic descriptive set theory promises elegant explanations for various phenomena in both classic and effective descriptive set theory. Presently, we mainly focus on developing the ideas in the category of represented spaces.

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