Paper 4: NTLA-O III: Observer Topology, Indistinguishability Kernels, and Quotient Spaces

Observer-Induced Topology, Indistinguishability Kernels, and Quotient Spaces

NTLA-O series Paper 4. Answers: how does an arbitrary family of observation predicates legitimately upgrade into a topology? Proves that any distinction family, used as a subbasis, generates a unique weakest topology, and — crucially — this topology's closure adds no new point-level distinguishability; finite intersections and arbitrary unions merely reorganize predicates that already existed. Also studies the initial topology induced by a general effective observation map and the observer-relative quotient.