Homological support of big objects in tensor-triangulated categories
Paul Balmer
TL;DR
This paper introduces a new approach to defining supports for large objects in tensor-triangulated categories using homological residue fields, and establishes a tensor-product formula for these supports.
Contribution
It presents a novel method for support theory in tensor-triangulated categories based on homological residue fields, extending existing frameworks.
Findings
Supports for big objects are defined using homological residue fields.
A tensor-product formula for these supports is proven.
The approach advances the understanding of tensor-triangulated categories.
Abstract
Using homological residue fields, we define supports for big objects in tensor-triangulated categories and prove a tensor-product formula.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra