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math.CT2025★ 1 cited
The shift-homological spectrum and parametrising kernels of rank functions
Isaac Bird, Jordan Williamson, Alexandra Zvonareva
For any compactly generated triangulated category we introduce two topological spaces, the shift-spectrum and the shift-homological spectrum. We use them to parametrise a family of…
math.CT2020★ 1 cited
Co-t-structures, cotilting and cotorsion pairs
David Pauksztello, Alexandra Zvonareva
Let be a triangulated category with shift functor . Suppose is a co-t-structure with coheart $\mathsf{S} =…