(Looking For) The Heart of Abelian Polish Groups
M Lupini - arXiv preprint arXiv:2202.13439, 2022 - arxiv.org
We prove that the category $\mathcal {M} $ of abelian groups with a Polish cover introduced
in collaboration with Bergfalk and Panagiotopoulos is the left heart of (the derived category …
in collaboration with Bergfalk and Panagiotopoulos is the left heart of (the derived category …
Definable -homology of separable C*-algebras
M Lupini - arXiv preprint arXiv:2008.13344, 2020 - arxiv.org
In this paper we show that the $\mathrm {K} $-homology groups of a separable C*-algebra
can be enriched with additional descriptive set-theoretic information, and regarded as …
can be enriched with additional descriptive set-theoretic information, and regarded as …
The definable content of homological invariants I: &
J Bergfalk, M Lupini, A Panagiotopoulos - arXiv preprint arXiv:2008.08782, 2020 - arxiv.org
This is the first installment in a series of papers in which we illustrate how classical invariants
of homological algebra and algebraic topology can be enriched with additional descriptive …
of homological algebra and algebraic topology can be enriched with additional descriptive …