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Unstable algebraic K-theory: homological stability and other observations

Published 1 year agoVersion 2arXiv:2405.02065

Authors

Mikala Ørsnes Jansen

Categories

math.KT

Abstract

We investigate stability properties of the reductive Borel-Serre categories; these were introduced as a model for unstable algebraic K-theory in previous work. We see that they exhibit better homological stability properties than the general linear groups. We also show that they provide an explicit model for Yuan's partial algebraic K-theory.

Unstable algebraic K-theory: homological stability and other observations

1 year ago
v2
1 author

Categories

math.KT

Abstract

We investigate stability properties of the reductive Borel-Serre categories; these were introduced as a model for unstable algebraic K-theory in previous work. We see that they exhibit better homological stability properties than the general linear groups. We also show that they provide an explicit model for Yuan's partial algebraic K-theory.

Authors

Mikala Ørsnes Jansen

arXiv ID: 2405.02065
Published May 3, 2024

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