HybridFunctorial Structure and MultiFunctorial Structure
Abstract
A Functorial Structure is defined as a covariant functor 𝐹 : C → Set, assigning sets to objects and functions to morphisms, ensuring functoriality [1]. In this paper, we introduce and formally define two new concepts: the HybridFunctorial Structure and the MultiFunctorial Structure. A HybridFunctorial Structure combines two functors on the same category, linked by a natural transformation, ensuring consistent pushforward compatibility. A MultiFunctorial Structure involves multiple functors indexed by a preorder, coherently related via natural transformations, forming compatible families with functorial consistency
Fields of Study & Subjects
Logic
programming
and type systems
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Logic
Publication details
- Journal / source
- Pure mathematics for theoretical computer science.
- Volume
- 6
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN