Reconstruction method
This is a bibliographic and methodological reconstruction, not a reproduction of Gromov’s books, papers, preprints, or lectures. It follows the same Logarchéon/Conway/Knuth/Ahlfors page pattern: strategy cards, formulas, diagnostic questions, failure modes, prevalence bars, decision tree, searchable corpus, source spine, and worked demonstrations. Strategy tags overlap; percentages do not sum to 100%.
Core thesis
Gromov’s method repeatedly changes the category of the problem: smooth manifolds become metric spaces, PDEs become jet relations, groups become large-scale geometries, symplectic embeddings become curve-counting obstructions, and biological structures become geometric languages.
Deep reading unit
Each case is read as a miniature pipeline: object → metric/coarse/flexible encoding → invariant → compactness or h-principle test → obstruction or construction → new field language.
Why this style
The page makes the method executable: click a strategy, inspect its formula and failure mode, filter the 300 cases by family or strategy, then use the demonstrations as reusable research protocols.
The Gromov strategy engine
Overlapping prevalence ranking
Bars show count divided by 300 cases. Since a case carries multiple strategy tags, this is a method-frequency map rather than a probability distribution.
Decision tree for reading Gromov as method
300-case corpus
| # | Year | Family / source | Case | Main thesis | Strategies |
|---|