Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
Finite Thom spaces and the spectrum interface
Interface
DT uses finite Thom spaces and the suspension identification Adding a trivial normal line suspends the Thom space to compare stabilized normal collapse data. Algebraic topology owns the definition of spectra, their structure maps and stable homotopy groups; no Thom spectrum is constructed or assumed here. A stable normal bundle is an equivalence class of finite bundle data, not already a spectrum.
Depends on
Used by
Nothing in the library uses this result yet.
Dependency tree · two levels
3 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.
Sources
- May, A Concise Course in Algebraic Topology, Chapter 23 §5 (standard reference, not scraped)