Graph centered on Elementary topos, 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

Elementary topos

Open this concept in the interactive graphRead the Markdown equivalent

Summary

A finitely complete cartesian closed category with a subobject classifier.

Record metadata

Carrier(s)

Data

Axioms / constraints

Canonically induces

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Grothendieck toposElementary topos

Permalink to relation

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

Authored explanation

A Grothendieck topos has finite limits, exponentials, and a subobject classifier.

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

finite limits + exponentials(construction junction)Elementary topos

Permalink to relation

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

Authored explanation

Add a subobject classifier compatible with the finite limits and exponentials.

How to interpret this relation type

Feed several structures into a construction junction and impose compatibility between them.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

No direct relations are authored in this direction.