Graph centered on Directed acyclic graph, 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

Directed acyclic graph

Open this concept in the interactive graphRead the Markdown equivalent

Summary

A directed graph with no directed cycle.

Record metadata

Carrier(s)

Axioms / constraints

Canonically induces

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Quiver / directed multigraphDirected acyclic graph

Permalink to relation

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

Authored explanation

Require no directed cycle.

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

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Directed acyclic graphPartial order / poset

Permalink to relation

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

Authored explanation

On a DAG, define xyx\le y when yy is reachable from xx; adding reflexivity yields a partial order.

How to interpret this relation type

Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.

Relation sources