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Smooth manifold with boundary

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Summary

A Hausdorff, second-countable space locally modeled on the closed half-space, equipped with a compatible smooth atlas.

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Data

Axioms / constraints

Notes

This node includes a smooth half-space atlas; it is not merely a topological manifold with boundary.

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Topological spaceSmooth manifold with boundary

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

Authored explanation

Require Hausdorffness and second countability, and add an atlas of charts to open subsets of the closed half-space with smooth transition maps.

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.

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