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Construction junctions are diamonds. They show where multiple structures must coexist on the same carrier and satisfy compatibility conditions.

Canonical static concept record

Topological pair

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Summary

A topological space $X$ with a specified subspace $A\subseteq X$ .

Record metadata

Canonical name: Topological pair
Concept ID: topological_pair
Content version: 2.3.0
Primary field: Mathematics
Fields: Mathematics
Primary domain: Algebraic topology
Domains: Algebraic topology, Topology
Alternate terminology: No alternate terminology is currently authored for this record.

Carrier(s)

topological space $X$

Data

distinguished subspace $A$

Concept sources

Wikipedia — Topological pair — Topological pair · encyclopedic reference · source ID wp-topological-pair
Hatcher — Algebraic Topology — Algebraic Topology · textbook · source ID hatcher-algebraic-topology

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Topological space Topological pair

Permalink to relation

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

Relation ID: e_top_pair
Relation type: Add data add-data
Direction: source → target
Endpoint roles: source: Builds toward; target: Built from
Authored annotation: + distinguished subspace

Authored explanation

Choose a subspace $A\subseteq X$ .

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

Wikipedia — Topological pair — Topological pair · encyclopedic reference · source ID wp-topological-pair
Hatcher — Algebraic Topology — Algebraic Topology · textbook · source ID hatcher-algebraic-topology

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.