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This framework organizes various obstruction systems in a structured manner, suggesting underlying principles and classifications.
We present a closed axiomatic framework for canonically indexed obstruction systems acting on a discrete index axis. The purpose of this paper is structural and organizational: no arithmetic results are proved. The framework isolates the geometric, congruential, p-adic, and Archimedean principles underlying a broad class of indexed sieve constructions and non--coverage phenomena.
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Daniel Augusto Jorge Zafaranich (2026) studied this question.
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