Manuscript VII-A-ST@1 · VII-A-ST.tex · section · c39a67a3

The laboratory

Prescribed geometry and the supported Cauchy presentation › The laboratory · lines 370–379

The domain $D$ is backward-cone closed relative to $Σ_{0}$ : if $(s, z)$ lies between $0$ and a point $(t, x) \in D$ , with $∣ z - x ∣ \leq t - s$ , then

∣ z ∣ \leq ∣ x ∣ + t - s < R - s .

This is the property used by all local inverses.

Displayed formulas in this passage

unlabeled · line 375
$∣ z ∣ \leq ∣ x ∣ + t - s < R - s .$

Nearby in this section

section: The laboratory
definition: Definition: Supported presentation
lemma: Lemma: Zero-Cauchy inverses
section: The laboratory