feat(topology): FiberBundleT2 — Hausdorffness of fiber bundle total spaces - #110
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…paces First brick of the Hopf–Rinow adoption from feat/hopf-rinow: a self-contained, Mathlib-only leaf lemma (Bundle.TotalSpace is T2 when base and fiber are), with no coupling to the Riemannian cone. Builds against main + the pinned Mathlib; 0 sorries. Co-authored-by: Axel Delaval <axel.delaval@gmail.com>
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First brick of the Hopf–Rinow adoption (see
feat/hopf-rinow), kept deliberately minimal to establish the small-PR pipeline.What: adds
OpenGALib/Topology/FiberBundleT2.lean—Bundle.TotalSpace F Eis Hausdorff when the baseBand fiberFare (the standard separate-along-base / trivialize-and-separate dichotomy).Why this file first: it is a true leaf of the Hopf–Rinow dependency cone — imports only Mathlib, zero coupling to the Riemannian modules, so it builds against
mainas-is.Verification:
lake build OpenGALib.Topology.FiberBundleT2succeeds; 0 sorries (sorry baseline stays 3); picked up by the.andSubmodulesglob (no root import change needed).Adopted from
feat/hopf-rinow; original author credited via Co-authored-by.