Graph centered on Braided monoidal category, showing the selected concept and its surrounding relations.Preparing the interactive atlas…

Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.

Curated starting points

Stories & Views

Relationship-aware analysis

Compare concepts

Choose two concepts to compare or connect.
Reading the graph

Guide to the Atlas

Canonical static concept record

Braided monoidal category

Open this concept in the interactive graphRead the Markdown equivalent

Summary

A monoidal category with a coherent braiding exchanging tensor factors.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Monoidal categoryBraided monoidal category

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Add a natural exchange isomorphism satisfying the hexagon laws.

How to interpret this relation type

Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Braided monoidal categorySymmetric monoidal category

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require double braiding to be the identity.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources