Monoidal 2-Categories: A Review
Fatimah Rita Ahmadi
TL;DR
This paper reviews the comprehensive definition of monoidal 2-categories and connects it to the algebraic framework of weak 3-categories, clarifying foundational concepts in higher category theory.
Contribution
It provides a detailed review and unification of monoidal 2-categories with the algebraic definitions of weak 3-categories, enhancing understanding of their structure.
Findings
Clarified the definition of monoidal 2-categories.
Connected monoidal 2-categories to weak 3-categories.
Reconstructed Kapranov and Voevodsky's definition from algebraic principles.
Abstract
We review the complete definition of monoidal 2-categories and recover Kapranov and Voevodsky's definition from the algebraic definition of weak 3-category(or tricategory).
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models