Dynamics / CONCEPT
Fixed points and zero holonomy in a cyclic skew product
Fixed points of a finite cyclic skew product are exactly zero-holonomy base returns, with one factor for every fiber phase.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH2
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Fixed-point counting through the holonomy kernel
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Certified topology / DOWNSTREAM
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RELATED KNOWLEDGE
Structural connections
- Additive Skew Dynamics and Orbit Holonomystructural-affinity · Closed
- Coordinates on a lifted periodic orbitstructural-affinity · Closed
- Finite cyclic holonomy and skew periodsstructural-affinity · Closed
- Finite Realization of Periodic-Point Tablesstructural-affinity · Closed
- Finite Self-Map Conjugacystructural-affinity · Closed
- Möbius orbit counts for cyclic additive skew productsstructural-affinity · Closed
- Periodic orbit classes in a cyclic skew productstructural-affinity · Closed
- Periodic Orbits, Phases and Divisor Countsstructural-affinity · Closed
- Product closure for finite periodic actionsstructural-affinity · Closed
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