The metric space of short functions between metric spaces
Content created by malarbol.
Created on 2025-05-05.
Last modified on 2025-05-05.
module metric-spaces.metric-space-of-short-functions-metric-spaces where
Imports
open import foundation.universe-levels open import metric-spaces.metric-space-of-functions-metric-spaces open import metric-spaces.metric-spaces open import metric-spaces.short-functions-metric-spaces open import metric-spaces.subspaces-metric-spaces
Idea
Short functions between metric spaces inherit the metric subspace structure of the function metric space. This defines the metric space of short functions between metric spaces¶.
Definitions
The metric space of short functions between metric spaces
module _ {l1 l2 l1' l2' : Level} (A : Metric-Space l1 l2) (B : Metric-Space l1' l2') where metric-space-of-short-functions-Metric-Space : Metric-Space (l1 ⊔ l2 ⊔ l1' ⊔ l2') (l1 ⊔ l2') metric-space-of-short-functions-Metric-Space = subspace-Metric-Space ( metric-space-of-functions-Metric-Space A B) ( is-short-function-prop-Metric-Space A B)
Recent changes
- 2025-05-05. malarbol. Metric properties of real negation, absolute value, addition and maximum (#1398).