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Question
Which spaces, domains, estimates, and convergence controls must survive reconstruction?
What the note explains
An estimate belongs to a space, a domain, and a comparison map. Carrying the inequality into a limit requires control of those data as well as the numerical bound.
Example
A sequence of positive finite-dimensional matrices may have positive gaps at every stage while the gaps approach zero. Track a uniform bound and the relation between ground projections before claiming persistence.
What the approach gains
The notebook treats analytic domains, defect controls, compactness, and computational witnesses as part of the mathematical object. This reveals what must be transported for a limiting statement to retain its content.
Reading route
Use the main checkpoint for Parts I–XXII. Read Parts XXIII–XXVII from their separate downloads and retain their own theorem labels and continuation records.
Scope and limits
The v0.4.0 source discloses reconstructed sections and unresolved source/literature audits. The separate continuations are not a certified integrated v0.9.0 edition; the incomplete assembly preview is excluded.
Continuations — Parts XXIII–XXVII
These are separate continuation PDFs; the main download remains the v0.4.0 checkpoint.
- Functional-Analytic Spine — Part XXIII — 49 pages.
- Functional-Analytic Spine — Part XXIV — 47 pages.
- Functional-Analytic Spine — Part XXV — 44 pages.
- Functional-Analytic Spine — Part XXVI — 41 pages.
- Functional-Analytic Spine — Part XXVII — 28 pages.