TL;DR
This paper introduces the concept of J-tribes and constructs J-tribes of J-frames within a tribe, focusing on semi-cubical diagrams with symmetries and reversals, advancing categorical structures.
Contribution
It defines J-tribes and constructs J-tribes of J-frames in a tribe, extending categorical frameworks to semi-cubical diagrams with symmetries.
Findings
Defined the notion of J-tribe.
Constructed J-tribe of J-frames in a given tribe.
Applied construction to semi-cubical diagrams with symmetries.
Abstract
We introduce a general notion of -tribe, and construct the -tribe of -frames in a given tribe , where a suitable generalized direct category. This construction applies to semi-cubical diagrams for a category of semi-cubes with symmetries and reversals.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras