PreprintarXiv licencearXiv
The set-theorist's real numbers
Abstract
Descriptive set theorists often refer to elements of the Baire space, 𝒩 = ωω, as ``reals.'' In this expository article, we present mathematical justification for this practice and highlight the advantages of working with 𝒩 over ℝ in the context of descriptive set theory.
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BibTeX
@misc{kulshreshtha2026settheorists,
title = {{The set-theorist's real numbers}},
author = {Dhruv Kulshreshtha and Jamie Tappenden},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06802},
eprint = {2610.06802},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06802},
}
RIS
TY - UNPB
TI - The set-theorist's real numbers
AU - Dhruv Kulshreshtha
AU - Jamie Tappenden
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06802
UR - https://arxiv.org/abs/2610.06802
AB - Descriptive set theorists often refer to elements of the Baire space, 𝒩 = ^ωω, as ``reals.'' In this expository article, we present mathematical justification for this practice and highlight the advantages of working with 𝒩 over ℝ in the context of descriptive set theory.
ER -