Limits over categories of extensions
Roman Mikhailov, Inder Bir S. Passi
TL;DR
This paper explores limits over categories of extensions, demonstrating how well-known functors on groups can be represented as such limits and discussing higher or derived limits in this context.
Contribution
It introduces a framework for understanding functors on groups as limits over extension categories and extends the discussion to higher and derived limits.
Findings
Representation of known functors as limits over extension categories
Analysis of higher (or derived) limits in this setting
Insights into the structure of limits over categories of extensions
Abstract
We consider limits over categories of extensions and show how certain well-known functors on the category of groups turn out as such limits. We also discuss higher (or derived) limits over categories of extensions.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic structures and combinatorial models