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Canonical static concept record

Vector bundle

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Summary

A fiber bundle whose fibers are vector spaces and transition functions are linear.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Fiber bundleVector bundle

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

Authored explanation

Give each fiber a vector-space structure with linear transition functions.

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.

Vector bundlevector bundle over smooth base(construction junction)

Permalink to relation

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

Authored explanation

Supply the Vector bundle structure as one jointly required input.

How to interpret this relation type

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

Relation sources