# SDPE Paper 02 Bundle

This bundle contains the canonical source and support artifacts for:

$$
\boxed{
\textbf{空間域證明包圍論 II：路徑域完備性與表示非坍縮}
}
$$

## Main result

An arbitrary representation

$$
\phi:D\to X
$$

induces the concrete fiber closure

$$
\operatorname{Sat}_\phi(A)=\phi^{-1}(\phi(A)).
$$

A concrete proof-relevant set is exactly representable in the route domain iff it is closed under this fiber saturation. Therefore proof-safe compression does not require injectivity; it requires either proof-relevant fiber homogeneity or conservative retention plus whole-fiber exclusion certificates.

## Files

- `SDPE_Paper02_Route_Domain_Completeness_and_Representation_NonCollapse_v0.1.md`
- `SDPE_Paper02_Fresh_Literature_Notes_2026-08-14.md`
- `SDPE_Series_Route_Map_v0.2.md`
- `SDPE_Paper02_Theorem_Ledger.json`
- `verify_SDPE_Paper02_route_domain.py`
- `SDPE_Paper02_checker_report.json`
- `checker_stdout.txt`
- `SOURCE_VALIDATION_SDPE_P02.json`
- `CHECKSUMS.sha256`