Pre-crossed modules and rack homology
Jacob Mostovoy
TL;DR
This paper introduces a new homology theory for pre-crossed modules, which generalizes rack homology, providing a broader algebraic framework for studying these structures.
Contribution
It defines a homology theory for pre-crossed modules that reduces to rack homology in specific cases, expanding the algebraic tools available for these objects.
Findings
Defines a new homology theory for pre-crossed modules
Shows the theory specializes to rack homology for free generated cases
Provides algebraic insights into the structure of pre-crossed modules
Abstract
We define a homology theory for pre-crossed modules that specifies to rack homology in the case when the pre-crossed module is freely generated by a rack.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCommutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis