Manuscript XXII-D@1 · XXII-D.tex · section · 17889d18
F6: endpoint limits are not a unique continuum evolution
Failure tests › F6: endpoint limits are not a unique continuum evolution · lines 1498–1520
A family of terminal channels and endpoint comparisons need not define compatible channels at all intermediate times. Any evolution-limit claim must provide its own encoders, decoders, complete interfaces, and statement such as
together with its composition and continuity hypotheses.
XIX-C's two-refinement and interpolation witnesses show the missing
information in an inference from one coarse channel or finite samples
CheungXIXC (prop:two-limits, prop:interpolation,
def:limit).
They do not exclude uniqueness after appropriate additional data.
Naming a consistency condition is not its construction or a
uniqueness proof.
Displayed formulas in this passage
unlabeled · line 1504