Serre Spectral

The app centers on a shared workspace session — fibration names, homology ranks, torsion, and coefficient flags persist as you move between modules.  Spectral sequence modules 

• E₂ page — Visual bidegree grid (UICollectionView) plus detail list; filter by (p,q) or total degree; copy workspace summary.
• Differentials — UIPickerView page selector, transgression stepper, bidegree lookup fields, differential log table.
• Convergence — Page-by-page term count bar, E∞ associated-graded output, first-quadrant filter.
• Edge & obstruction — Segmented LES / obstruction / transgression views with degree picker.
• Homotopy groups — π_n table driven by E₂ or E∞ data; simply-connected toggle.