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.
Empty-base and rank-zero Thom conventions
Conventions
The based quotient convention gives , even though the sphere bundle is empty. For , the Thom space is the one-point based space. These are the conventions already proved in Trivial Thom spaces as suspension smash products and defined in Disk bundle, sphere bundle, and Thom space: the differential topology interface. A rank-zero collapse of a union of components is the identity on that union and sends the other components to the basepoint.
Depends on
Used by
Nothing in the library uses this result yet.
Dependency tree · two levels
4 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)