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arXiv · 2602.18245

Algebraic $K$-theory of stably compact spaces

Georg Lehner
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Abstract

We compute the value of finitary localizing invariants, including algebraic $K$-theory, on categories of sheaves over stably locally compact spaces $X$. Our formula simultaneously generalizes the cases of locally compact Hausdorff and coherent (spectral) spaces and recovers several smaller $K$-theory calculations as special instances.

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Georg Lehner. 2026-02-20. Algebraic $K$-theory of stably compact spaces. https://arxiv.org/abs/2602.18245

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